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

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

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sqrt(5x-1)=x+1

5 x - 1 = x + 1

x = 2, x = 1

Solution steps

5 x - 1 = x + 1

Square both sides:

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

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

Solve

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

x = 2, x = 1

Verify Solutions:

x = 2

True

, x = 1

True

The solutions are

x = 2, x = 1

x - 3 - 2 x^{2} - 9 = 0

2 x + 6 - x - 4 = 3

x = - 2 x + 3

4 x + 1 = x + 5

4 = x + 4