What is the answer to sqrt(7x-7)=x-1 ?

The answer to sqrt(7x-7)=x-1 is x=8,x=1

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sqrt(7x-7)=x-1

7 x - 7 = x - 1

x = 8, x = 1

Solution steps

7 x - 7 = x - 1

Square both sides:

7 x - 7 = x^{2} - 2 x + 1

7 x - 7 = x^{2} - 2 x + 1

Solve

7 x - 7 = x^{2} - 2 x + 1 : x = 8, x = 1

x = 8, x = 1

Verify Solutions:

x = 8

True

, x = 1

True

The solutions are

x = 8, x = 1

2 x + 3 + x - 5 = 0

x - 7 + 2 x = x + 1

x + 7 = 5 x - 9

x = 10

x^{\frac{2}{3}} - x^{\frac{1}{3}} - 6 = 0