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

The answer to sqrt(5x+1)=x+1 is x=3,x=0

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sqrt(5x+1)=x+1

5 x + 1 = x + 1

x = 3, x = 0

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 = 3, x = 0

x = 3, x = 0

Verify Solutions:

x = 3

True

, x = 0

True

The solutions are

x = 3, x = 0

5 x + 1 = x - 4

7 - 2 x = x - 2

x - 3 x - 11 = 5

4 x + 17 = x - 1

\frac{1}{x} + 5 = 0