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fantiks200
@fantiks200
August 2022
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Сделайте квадрат уравнения
x1-x2=20
x1+x2=-10
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nKrynka
Решение
Составим и решим систему:
x1 - x2 = 20
x1 + x2 = -10
сложим
2x1 = 10
x1 = 5
5 - x2 = 20
x2 = 5 - 20
x2 = -15
По теореме Виета:
x1 + x2 = - p
x1*x2 = q
x
² + px + q = 0
x1 + x2 = 5 + (-15) = - 10
p = 10
x1*x2 = 5*(-15) = - 75, q = - 75
x² + 10x - 75 = 0
1 votes
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Answers & Comments
Составим и решим систему:
x1 - x2 = 20
x1 + x2 = -10
сложим
2x1 = 10
x1 = 5
5 - x2 = 20
x2 = 5 - 20
x2 = -15
По теореме Виета:
x1 + x2 = - p
x1*x2 = q
x² + px + q = 0
x1 + x2 = 5 + (-15) = - 10
p = 10
x1*x2 = 5*(-15) = - 75, q = - 75
x² + 10x - 75 = 0