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

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

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x-2sqrt(x-1)=1

x - 2 x - 1 = 1

x = 5, x = 1

Solution steps

x - 2 x - 1 = 1

Remove square roots

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

Solve

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

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

6 + 1 + 2 x = 3

x - 1 - x = 1 x

2 m + 4 2 m - 3 + 1 = m + 7

v^{\frac{1}{4}} = 3

2 x + 10 = - x - 1