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Lskdekdjfj
@Lskdekdjfj
August 2022
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(x-1)^2+(x+2)^2=2(1-x)(x-2)
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Dимасuk
Verified answer
(x - 1)² + (x + 2)² = 2(1 - x)(x - 2)
x² - 2x + 1 + x² +4x + 4 = 2(x - 2 - x² + 2x)
2x² + 2x + 5 = 2(-x² + 3x - 2)
2x² + 2x + 5 = -2x² + 6x - 4
4x² - 4x + 9 = 0
D = 16 - 9·4 < 0, значит, нет корней.
Ответ: нет корней.
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Answers & Comments
Verified answer
(x - 1)² + (x + 2)² = 2(1 - x)(x - 2)x² - 2x + 1 + x² +4x + 4 = 2(x - 2 - x² + 2x)
2x² + 2x + 5 = 2(-x² + 3x - 2)
2x² + 2x + 5 = -2x² + 6x - 4
4x² - 4x + 9 = 0
D = 16 - 9·4 < 0, значит, нет корней.
Ответ: нет корней.