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CherchenkoNika
@CherchenkoNika
July 2022
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Помогите решить
(X^2-1)^2+(x^2-6x-7)^2=0
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litanalove
A² -b² =(a -b)(a+b)
(x²-1 -(x²-6x-7))(x²-1 +(x²-6x-7)) =0
(x²-1-x²+6x+7)(x²-1+x²-6x-7) =0
(6x +6)(2x² -6x -8) =0
6x +6 =0
6x = -6
x1 = -1
2x² -6x -8 =0
D =36 +4*2*8 =100 =10²
x2 =(6 -10)/4 = -1
x3 =(6 +10)/4 =4(не является корнем уравнения)
ответ: x = -1
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Answers & Comments
(x²-1 -(x²-6x-7))(x²-1 +(x²-6x-7)) =0
(x²-1-x²+6x+7)(x²-1+x²-6x-7) =0
(6x +6)(2x² -6x -8) =0
6x +6 =0
6x = -6
x1 = -1
2x² -6x -8 =0
D =36 +4*2*8 =100 =10²
x2 =(6 -10)/4 = -1
x3 =(6 +10)/4 =4(не является корнем уравнения)
ответ: x = -1