помогите решить уравнение!!!!!!!. Created by Limon93. algebra-ru

помогите решить уравнение!!!!!!!...

Verified answer

√(x^2 - 1 ) = 1 - x

ОДЗ
x ≤ 1

x^2 - 1 = (x - 1)^2
(x - 1)(x + 1) - (x - 1)^2 = 0
(x - 1)(x + 1 - (x - 1)) = 0
(x - 1)(x + 1 - x + 1) = 0
(x - 1) *2 = 0
x - 1 = 0
x = 1

Ответ
1

2 votes Thanks 1

Kixcertborn2

Verified answer

√(x^2-1 ) = 1-x

ODS: x ≤ 1

x^2-1=(x-1)^2

x^2-1=x^2-2x+1

-1=-2x+1

2x=1+1

2x=2

x=1

0 votes Thanks 0

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