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Кастиэль21
@Кастиэль21
November 2021
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4 номер, пожалуйста (для 20 символов)
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Удачник66
Verified answer
{ 3x - 7 = 2
{ px^2 + 3x - 1 = 0
У первого уравнения один корень:
3x = 2 + 7 = 9; x = 3
Подставляем во 2 уравнение
9p + 9 - 1 = 0
p = -8/9
Проверяем
-8/9x^2 + 3x - 1 = 0
-8x^2 + 27x - 9 = 0
D = 27^2 - 4*(-8)(-9) = 729 - 4*72 = 729 - 288 = 441 = 21^2
x1 = (-27 - 21)/(-16) = -48/(-16) = 3
x2 = (-27 + 21)/(-16) = -6/(-16) = 3/8
Все правильно, x = 3 - общий корень
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Answers & Comments
Verified answer
{ 3x - 7 = 2{ px^2 + 3x - 1 = 0
У первого уравнения один корень:
3x = 2 + 7 = 9; x = 3
Подставляем во 2 уравнение
9p + 9 - 1 = 0
p = -8/9
Проверяем
-8/9x^2 + 3x - 1 = 0
-8x^2 + 27x - 9 = 0
D = 27^2 - 4*(-8)(-9) = 729 - 4*72 = 729 - 288 = 441 = 21^2
x1 = (-27 - 21)/(-16) = -48/(-16) = 3
x2 = (-27 + 21)/(-16) = -6/(-16) = 3/8
Все правильно, x = 3 - общий корень