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Popular >

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

Solution

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

Solution

x = 1

Solution steps

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

Square both sides:

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

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

Solve

4 x^{2} - 4 = x^{2} - 2 x + 1 : x = - \frac{5}{3}, x = 1

x = - \frac{5}{3}, x = 1

Verify Solutions:

x = - \frac{5}{3}

False

, x = 1

True

The solution is

x = 1

Graph

Popular Examples

sqrt(x+3)=sqrt(x)+1

x + 3 = x + 1

x^{\frac{3}{5}} + 17 = 9

3x^{1/2}=2x^{1/2}

3 x^{\frac{1}{2}} = 2 x^{\frac{1}{2}}

x^2-3sqrt(x^2-15)=33

x^{2} - 3 x^{2} - 15 = 33

sqrt(5-w/4)=sqrt(w+8)

5 - \frac{w}{4} = w + 8

Frequently Asked Questions (FAQ)

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