What is the answer to sqrt(x^4-2x^2+1)=x-1 ?

The answer to sqrt(x^4-2x^2+1)=x-1 is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x^4-2x^2+1)=x-1

x^{4} - 2 x^{2} + 1 = x - 1

x = 1

Solution steps

x^{4} - 2 x^{2} + 1 = x - 1

Square both sides:

x^{4} - 2 x^{2} + 1 = x^{2} - 2 x + 1

x^{4} - 2 x^{2} + 1 = x^{2} - 2 x + 1

Solve

x^{4} - 2 x^{2} + 1 = x^{2} - 2 x + 1 : x = 0, x = 1, x = - 2

x = 0, x = 1, x = - 2

Verify Solutions:

x = 0

False

, x = 1

True

, x = - 2

False

The solution is

x = 1

8 - x - 7 = 2 x + 8

(x^{2} - 33)^{\frac{1}{2}} = 4

(2 x - 6)^{2} = 6 - 2 x

What is the answer to sqrt(x^4-2x^2+1)=x-1 ?
The answer to sqrt(x^4-2x^2+1)=x-1 is x=1
Solve for x: sqrt(x^4-2x^2+1)=x-1
The solution is x=1