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

The answer to sqrt(2x-1)-sqrt(x-1)=1 is x=5,x=1

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

2 x - 1 - x - 1 = 1

x = 5, x = 1

Solution steps

2 x - 1 - x - 1 = 1

Remove square roots

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

Solve

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

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

5 x + 1 = 14 x + 2

x - 8 + 2 = 7

\frac{1}{2} w + 8 = - 2

y^{2} - y = 0

- 1 - 2 r = r

What is the answer to sqrt(2x-1)-sqrt(x-1)=1 ?
The answer to sqrt(2x-1)-sqrt(x-1)=1 is x=5,x=1
Solve for x: sqrt(2x-1)-sqrt(x-1)=1
The solution is x=5,x=1