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

The answer to sqrt(4x-4)=x-1 is x=5,x=1

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sqrt(4x-4)=x-1

4 x - 4 = x - 1

x = 5, x = 1

Solution steps

4 x - 4 = x - 1

Square both sides:

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

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

Solve

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

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

x^{2} - 5 x + 1 + x^{2} - 5 x = 1

3 x + 31 = x + 7

y, x = 6 - y

2 a - 5 = 10 - a

5 x + 4 = x - 4