What is the answer to sqrt(3x-5)=x-1 ?

The answer to sqrt(3x-5)=x-1 is x=3,x=2

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sqrt(3x-5)=x-1

3 x - 5 = x - 1

x = 3, x = 2

Solution steps

3 x - 5 = x - 1

Square both sides:

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

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

Solve

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

x = 3, x = 2

Verify Solutions:

x = 3

True

, x = 2

True

The solutions are

x = 3, x = 2

5 x^{\frac{1}{2}} = 2 x + 2

x + 5 - 2 x - 7 = 2

3 x^{2} + 3 x - 2 + 2 x^{2} + 2 x - 3 = x^{2} + x + 1

x, x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}}

x + 2 = 2 x + 1