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(\\b)\\ הוא המקדם של הנעלם במעלה ראשונה.\u003cbr\u003e(\\c)\\ הוא האיבר החופשי.\u003c/p\u003e","Question":"\u003cp\u003eלאיזה מהמשוואות הבאות יש 2 פתרונות?\u003c/p\u003e"},{"ID":199,"VideoQuestionName":"שאלה 5","VideoQuestionID":286,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1145,"Answer":"\u003cp\u003e\\({x^2} = 4x\\)\u003c/p\u003e","Type":false},{"ID":1146,"Answer":"\u003cp\u003e\\(x\\left( {x - 4} \\right) = 0\\)\u003c/p\u003e","Type":true},{"ID":1147,"Answer":"\u003cp\u003e\\(x - 4 = 0\\)\u003c/p\u003e","Type":false},{"ID":1148,"Answer":"\u003cp\u003e\\( - 3x = 0\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(x\\left( {x - 4} \\right) = 0\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\({x^2} = 4x\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(x - 4 = 0\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\( - 3x = 0\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eכאשר ניתן לפרק לגורמים על מנת להגיע למכפלה ששווה ל- (\\0)\\ אז ניתן לפתור את המשוואה על ידי השוואת כל גורם בנפרד\u0026nbsp;\u003cbr\u003eל-(\\0)\\.\u003c/p\u003e","Question":"\u003cp\u003eמה השלב הבא בפתרון המשוואה הבאה: \u0026nbsp;\\({x^2} - 4x = 0\\)?\u003c/p\u003e"},{"ID":200,"VideoQuestionName":"שאלה 6","VideoQuestionID":287,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1149,"Answer":"\u003cp\u003e\\({x^2} + 7x - 8 = \u0026nbsp;- 14\\)\u003c/p\u003e","Type":false},{"ID":1150,"Answer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm \\sqrt {{7^2} - 4 \\cdot 1 \\cdot \\left( { - 8} \\right)} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Type":true},{"ID":1151,"Answer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm \\sqrt {81} }}{2}\\)\u003c/p\u003e","Type":false},{"ID":1152,"Answer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 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1

2

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2y = 16\\end{array}\\).\u003cbr\u003eמה לא מתאים להיות השלב הבא בדרך לפתרון המערכת?\u003c/p\u003e"},{"ID":189,"VideoQuestionName":"שאלה 3","VideoQuestionID":276,"VideoID":38664,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1105,"Answer":"\u003cp\u003e\\(\\begin{array}{l}3x + 4y = 7\\\\3x + 4y = 1\\end{array}\\)\u003c/p\u003e","Type":true},{"ID":1106,"Answer":"\u003cp\u003e\\(\\begin{array}{l}x = 3\\\\y = 4\\end{array}\\)\u003c/p\u003e","Type":false},{"ID":1107,"Answer":"\u003cp\u003e\\(\\begin{array}{l}4x + 8y = 12\\\\2x + 4y = 6\\end{array}\\)\u003c/p\u003e","Type":false},{"ID":1108,"Answer":"\u003cp\u003e\\(\\begin{array}{l}x + y = 0\\\\x - y = 0\\end{array}\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(\\begin{array}{l}3x + 4y = 7\\\\3x + 4y = 1\\end{array}\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(\\begin{array}{l}x = 3\\\\y = 4\\end{array}\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(\\begin{array}{l}4x + 8y = 12\\\\2x + 4y = 6\\end{array}\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(\\begin{array}{l}x + y = 0\\\\x - y = 0\\end{array}\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eכאשר פתרון מערכת מביא לפסוק שקר, אין למערכת פתרון.\u003c/p\u003e","Question":"\u003cp\u003eלאיזה מערכת משוואות אין פתרון?\u003c/p\u003e"},{"ID":190,"VideoQuestionName":"שאלה 4","VideoQuestionID":277,"VideoID":38664,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1109,"Answer":"\u003cp\u003e\\(3x + y = 5x - 1\\)\u003c/p\u003e","Type":false},{"ID":1110,"Answer":"\u003cp\u003e\\(3\\left( {5x - 1} \\right) + y = 7\\)\u003c/p\u003e","Type":false},{"ID":1111,"Answer":"\u003cp\u003e\\(5x - 1 = 7\\)\u003c/p\u003e","Type":false},{"ID":1112,"Answer":"\u003cp\u003e\\(3x + 5x - 1 = 7\\)\u003c/p\u003e","Type":true}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(3x + 5x - 1 = 7\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(3x + y = 5x - 1\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(3\\left( {5x - 1} \\right) + y = 7\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(5x - 1 = 7\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eבשיטת ההצבה נרצה לבודד ביטוי במשוואה אחת כדי להציב אותו בשנייה ובכך לצמצם את כמות הנעלמים.\u003cbr\u003eהביטוי המוצב במשוואה אחת מוחלף בביטוי השקול לו במשוואה השנייה.\u003c/p\u003e","Question":"\u003cp\u003eנתונה מערכת משוואות: \u0026nbsp;\\(\\begin{array}{l}3x + y = 7\\\\y = 5x - 1\\end{array}\\).\u003cbr\u003eטליה רוצה לפתור את מערכת המשוואות בשיטת ההצבה.\u003cbr\u003eמה עליה לעשות בשלב הבא?\u003c/p\u003e"},{"ID":191,"VideoQuestionName":"שאלה 5","VideoQuestionID":278,"VideoID":38664,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1113,"Answer":"\u003cp\u003eלכפול את המשוואה הראשונה ב-3 ואת השנייה ב-5.\u003c/p\u003e","Type":false},{"ID":1114,"Answer":"\u003cp\u003eלכפול את המשוואה השנייה ב-(2-).\u003c/p\u003e","Type":false},{"ID":1115,"Answer":"\u003cp\u003eלכפול את המשוואה השנייה ב-2.\u003c/p\u003e","Type":false},{"ID":1116,"Answer":"\u003cp\u003eלכפול את המשוואה הראשונה ב-3 ואת השנייה ב-2.\u003c/p\u003e","Type":true}],"TopicName":null,"CorrectAnswer":"\u003cp\u003eלכפול את המשוואה הראשונה ב-3 ואת השנייה ב-2.\u003c/p\u003e","Answer1":"\u003cp\u003eלכפול את המשוואה הראשונה ב-3 ואת השנייה ב-5.\u003c/p\u003e","Answer2":"\u003cp\u003eלכפול את המשוואה השנייה ב-(2-).\u003c/p\u003e","Answer3":"\u003cp\u003eלכפול את המשוואה השנייה ב-2.\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eבשיטת השוואת מקדמים נרצה להביא את אותו הביטוי להיות בעל אותו המקדם המספרי בשתי המשוואות\u003cbr\u003eעל מנת לצמצם את הביטוי בעזרת חיבור או חיסור המשוואות.\u003c/p\u003e","Question":"\u003cp\u003eנתונה מערכת המשוואות: \u0026nbsp;\\(\\begin{array}{l}2x + 5y = 5\\\\x + 3y = 7\\end{array}\\).\u003cbr\u003eמה לא כדאי לעשות בשלב הבא?\u003c/p\u003e"}],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]],[[{"ID":192,"VideoQuestionName":"שאלה 1","VideoQuestionID":279,"VideoID":38765,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1117,"Answer":"\u003cp\u003e\\(3x + 2 = \u0026nbsp;- 3x + 1\\)\u003c/p\u003e","Type":false},{"ID":1118,"Answer":"\u003cp\u003e\\(x + x + 1 = 2x + 1\\)\u003c/p\u003e","Type":false},{"ID":1119,"Answer":"\u003cp\u003e\\(x - x = 4\\)\u003c/p\u003e","Type":true},{"ID":1120,"Answer":"\u003cp\u003e\\(x = \u0026nbsp;- x\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(x - x = 4\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(3x + 2 = \u0026nbsp;- 3x + 1\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(x + x + 1 = 2x + 1\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(x = \u0026nbsp;- x\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eכאשר הנעלם מצטמצם ומתקבל פסוק שקר (מספר שווה למספר אחר), אין למשוואה פתרון.\u003c/p\u003e","Question":"\u003cp\u003eלאיזו משוואה מהמשוואות הבאות אין פתרון?\u003c/p\u003e"},{"ID":193,"VideoQuestionName":"שאלה 2","VideoQuestionID":280,"VideoID":38765,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1121,"Answer":"\u003cp\u003e\\(x + x + 7 = 2x - 7\\)\u003c/p\u003e","Type":false},{"ID":1122,"Answer":"\u003cp\u003e\\(2x = x + x\\)\u003c/p\u003e","Type":true},{"ID":1123,"Answer":"\u003cp\u003e\\(x = \u0026nbsp;- x\\)\u003c/p\u003e","Type":false},{"ID":1124,"Answer":"\u003cp\u003e\\(2x - 9 = \u0026nbsp;- 2x + 9\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(2x = x + x\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(x + x + 7 = 2x - 7\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(x = \u0026nbsp;- x\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(2x - 9 = \u0026nbsp;- 2x + 9\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eכאשר הנעלם מצטמצם ומתקבל פסוק אמת (מספר שווה לעצמו), יש למשוואה אינסוף פתרונות.\u003c/p\u003e","Question":"\u003cp\u003eלאיזו משוואה מהמשוואות הבאות יש אינסוף פתרונות?\u003c/p\u003e"},{"ID":194,"VideoQuestionName":"שאלה 3","VideoQuestionID":281,"VideoID":38765,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1125,"Answer":"\u003cp\u003e\\(4x\\)\u0026nbsp;\u003c/p\u003e","Type":false},{"ID":1126,"Answer":"\u003cp\u003e\\( - 5x\\)\u003c/p\u003e","Type":false},{"ID":1127,"Answer":"\u003cp\u003e\\(3x\\)\u003c/p\u003e","Type":true},{"ID":1128,"Answer":"\u003cp\u003e\\(5x\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(3x\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(4x\\)\u0026nbsp;\u003c/p\u003e","Answer2":"\u003cp\u003e\\( - 5x\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(5x\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eכאשר הנעלם מצטמצם ומתקבל פסוק אמת (מספר שווה לעצמו), יש למשוואה אינסוף פתרונות.\u003c/p\u003e","Question":"\u003cp\u003eאיזה ביטוי צריך להכניס במקום הריק כדי שלמשוואה: \u0026nbsp;\\(4x - 2 = x - 2 + \\_\\_\\_\\) יהיו אינסוף פתרונות?\u0026nbsp;\u003c/p\u003e"}],[],[],[],[],[]],[[{"ID":195,"VideoQuestionName":"שאלה 1","VideoQuestionID":282,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1129,"Answer":"\u003cp\u003e\\(2{x^2} + 1 = 0\\)\u003c/p\u003e","Type":false},{"ID":1130,"Answer":"\u003cp\u003e\\(2x + 1 = 0\\)\u003c/p\u003e","Type":false},{"ID":1131,"Answer":"\u003cp\u003e\\(2{x^2} - x = 0\\)\u003c/p\u003e","Type":false},{"ID":1132,"Answer":"\u003cp\u003e\\(2{x^2} + x = 0\\)\u003c/p\u003e","Type":true}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(2{x^2} + x = 0\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(2{x^2} + 1 = 0\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(2x + 1 = 0\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(2{x^2} - x = 0\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eבמשוואה ריבועית (\\a)\\ הוא מקדם של הנעלם בריבוע.\u003cbr\u003e(\\b)\\ הוא המקדם של הנעלם במעלה ראשונה. (\\c)\\ הוא האיבר החופשי.\u003c/p\u003e","Question":"\u003cp\u003eעבור איזה משוואה מהמשוואות הבאות מתקיים: \u0026nbsp;\\(a = 2{\\rm{ }},\\;b = 1{\\rm{ }},\\;c = 0\\)?\u003c/p\u003e"},{"ID":196,"VideoQuestionName":"שאלה 2","VideoQuestionID":283,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1133,"Answer":"\u003cp\u003e\\(\\frac{{ - 2 \\pm \\sqrt {{2^2} - 4 \\cdot 1 \\cdot 3} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Type":false},{"ID":1134,"Answer":"\u003cp\u003e\\(\\frac{{ - \\left( { - 2} \\right) \\pm \\sqrt { - {2^2} - 4 \\cdot 1 \\cdot \\left( { - 3} \\right)} }}{{2 \\cdot 1}}\\)\u0026nbsp;\u003c/p\u003e","Type":false},{"ID":1135,"Answer":"\u003cp\u003e\\(\\frac{{ - \\left( { - 2} \\right) \\pm \\sqrt {{{\\left( { - 2} \\right)}^2} - 4 \\cdot 1 \\cdot \\left( { - 3} \\right)} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Type":true},{"ID":1136,"Answer":"\u003cp\u003e\\(\\frac{{ - 2 \\pm \\sqrt {{{\\left( { - 2} \\right)}^2} - 4 \\cdot 0 \\cdot \\left( { - 3} \\right)} }}{{2 \\cdot 0}}\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(\\frac{{ - \\left( { - 2} \\right) \\pm \\sqrt {{{\\left( { - 2} \\right)}^2} - 4 \\cdot 1 \\cdot \\left( { - 3} \\right)} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(\\frac{{ - 2 \\pm \\sqrt {{2^2} - 4 \\cdot 1 \\cdot 3} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(\\frac{{ - \\left( { - 2} \\right) \\pm \\sqrt { - {2^2} - 4 \\cdot 1 \\cdot \\left( { - 3} \\right)} }}{{2 \\cdot 1}}\\)\u0026nbsp;\u003c/p\u003e","Answer3":"\u003cp\u003e\\(\\frac{{ - 2 \\pm \\sqrt {{{\\left( { - 2} \\right)}^2} - 4 \\cdot 0 \\cdot \\left( { - 3} \\right)} }}{{2 \\cdot 0}}\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eבמשוואה ריבועית (\\a)\\ הוא מקדם של הנעלם בריבוע.\u003cbr\u003e(\\b)\\ הוא המקדם של הנעלם במעלה ראשונה. (\\c)\\ הוא האיבר החופשי.\u003cbr\u003eנוסחת השורשים היא: \u0026nbsp;\\(x = \\frac{{ - b \\pm \\sqrt {{{\\left( b \\right)}^2} - 4ac} }}{{2a}}\\)\u003c/p\u003e","Question":"\u003cp\u003eבחרו בהצבה הנכונה בנוסחת השורשים של המשוואה: \u0026nbsp;\\({x^2} - 2x - 3 = 0\\)?\u003c/p\u003e"},{"ID":197,"VideoQuestionName":"שאלה 3","VideoQuestionID":284,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1137,"Answer":"\u003cp\u003e\\(x = 4\\)\u003c/p\u003e","Type":false},{"ID":1138,"Answer":"\u003cp\u003e\\(x = 4{\\rm{ }},\\;x = \u0026nbsp;- 4\\)\u003c/p\u003e","Type":true},{"ID":1139,"Answer":"\u003cp\u003e\\(x = 0{\\rm{ }},\\;x = 16\\)\u003c/p\u003e","Type":false},{"ID":1140,"Answer":"\u003cp\u003e\\(x = 8{\\rm{ }},\\;x = \u0026nbsp;- 8\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(x = 4{\\rm{ }},\\;x = \u0026nbsp;- 4\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(x = 4\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(x = 0{\\rm{ }},\\;x = 16\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(x = 8{\\rm{ }},\\;x = \u0026nbsp;- 8\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eבהוצאת שורש מסדר זוגי כפתרון למשוואה נקבל תוצאה חיובית ושלילית אשר שתיהן מקיימות את המשוואה.\u003c/p\u003e","Question":"\u003cp\u003eמה הפתרון של המשוואה הבאה: \u0026nbsp;\\({x^2} = 16\\)?\u003c/p\u003e"},{"ID":198,"VideoQuestionName":"שאלה 4","VideoQuestionID":285,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1141,"Answer":"\u003cp\u003e\\({x^2} = 0\\)\u003c/p\u003e","Type":false},{"ID":1142,"Answer":"\u003cp\u003e\\({x^2} = \u0026nbsp;- 16\\)\u003c/p\u003e","Type":false},{"ID":1143,"Answer":"\u003cp\u003e\\( - {x^2} - 3x = 0\\)\u003c/p\u003e","Type":true},{"ID":1144,"Answer":"\u003cp\u003e\\({x^2} + 1 = 0\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\( - {x^2} - 3x = 0\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\({x^2} = 0\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\({x^2} = \u0026nbsp;- 16\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\({x^2} + 1 = 0\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eלמשוואה ריבועית יש 2 פתרונות ממשיים שונים כאשר הדיסקרימיננטה: \u0026nbsp;\\({\\left( b \\right)^2} - 4ac\\) \u0026nbsp;חיובית.\u003cbr\u003eכאשר (\\a)\\ הוא מקדם של הנעלם בריבוע. (\\b)\\ הוא המקדם של הנעלם במעלה ראשונה.\u003cbr\u003e(\\c)\\ הוא האיבר החופשי.\u003c/p\u003e","Question":"\u003cp\u003eלאיזה מהמשוואות הבאות יש 2 פתרונות?\u003c/p\u003e"},{"ID":199,"VideoQuestionName":"שאלה 5","VideoQuestionID":286,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1145,"Answer":"\u003cp\u003e\\({x^2} = 4x\\)\u003c/p\u003e","Type":false},{"ID":1146,"Answer":"\u003cp\u003e\\(x\\left( {x - 4} \\right) = 0\\)\u003c/p\u003e","Type":true},{"ID":1147,"Answer":"\u003cp\u003e\\(x - 4 = 0\\)\u003c/p\u003e","Type":false},{"ID":1148,"Answer":"\u003cp\u003e\\( - 3x = 0\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(x\\left( {x - 4} \\right) = 0\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\({x^2} = 4x\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(x - 4 = 0\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\( - 3x = 0\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eכאשר ניתן לפרק לגורמים על מנת להגיע למכפלה ששווה ל- (\\0)\\ אז ניתן לפתור את המשוואה על ידי השוואת כל גורם בנפרד\u0026nbsp;\u003cbr\u003eל-(\\0)\\.\u003c/p\u003e","Question":"\u003cp\u003eמה השלב הבא בפתרון המשוואה הבאה: \u0026nbsp;\\({x^2} - 4x = 0\\)?\u003c/p\u003e"},{"ID":200,"VideoQuestionName":"שאלה 6","VideoQuestionID":287,"VideoID":38721,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":1149,"Answer":"\u003cp\u003e\\({x^2} + 7x - 8 = \u0026nbsp;- 14\\)\u003c/p\u003e","Type":false},{"ID":1150,"Answer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm \\sqrt {{7^2} - 4 \\cdot 1 \\cdot \\left( { - 8} \\right)} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Type":true},{"ID":1151,"Answer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm \\sqrt {81} }}{2}\\)\u003c/p\u003e","Type":false},{"ID":1152,"Answer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm 9}}{2}\\)\u003c/p\u003e","Type":false},{"ID":1153,"Answer":"\u003cp\u003e\\({x_1} = \\frac{{ - 7 + 9}}{2}{\\rm{ = 1 \u0026nbsp;, \u0026nbsp;}}{x_2} = \\frac{{ - 7 - 9}}{2} = \u0026nbsp;- 8\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm \\sqrt {{7^2} - 4 \\cdot 1 \\cdot \\left( { - 8} \\right)} }}{{2 \\cdot 1}}\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\({x^2} + 7x - 8 = \u0026nbsp;- 14\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm \\sqrt {81} }}{2}\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\({x_{1,2}} = \\frac{{ - 7 \\pm 9}}{2}\\)\u003c/p\u003e","Answer4":"\u003cp\u003e\\({x_1} = \\frac{{ - 7 + 9}}{2}{\\rm{ = 1 \u0026nbsp;, \u0026nbsp;}}{x_2} = \\frac{{ - 7 - 9}}{2} = \u0026nbsp;- 8\\)\u003c/p\u003e","Explanation":"\u003cp\u003eניתן להשתמש בנוסחת השורשים לפתור משוואה ריבועית רק כאשר אגף אחד במשוואה הוא (\\0)\\.\u003c/p\u003e","Question":"\u003cp\u003eיעל פתרה את המשוואה: \u0026nbsp;\\(x\\left( {x + 7} \\right) - 8 = \u0026nbsp;- 14\\) \u0026nbsp;באופן שגוי.\u003cbr\u003eבאיזו שורה נפלה טעות?\u003c/p\u003e"}],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]],[[],[],[],[],[],[],[],[]],[[],[],[],[],[],[],[],[],[],[],[],[],[]],[[],[],[]]]