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kichigin2017
@kichigin2017
July 2022
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4(x-1)^2=(x+2)^2 решите ураавнение
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ShirokovP
Verified answer
4 (x^2 - 2x + 1) = x^2 + 4x + 4
4x^2 - 8x + 4 = x^2 + 4x + 4
4x^2 - 8x - x^2 - 4x = 0
3x^2 - 12x = 0 // : 3
x^2 - 4x = 0
x (x - 4) = 0
x = 0 ;
x - 4 = 0 ==> x = 4
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Answers & Comments
Verified answer
4 (x^2 - 2x + 1) = x^2 + 4x + 44x^2 - 8x + 4 = x^2 + 4x + 4
4x^2 - 8x - x^2 - 4x = 0
3x^2 - 12x = 0 // : 3
x^2 - 4x = 0
x (x - 4) = 0
x = 0 ;
x - 4 = 0 ==> x = 4