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

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

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sqrt(5x+5)=x+1

5 x + 5 = x + 1

x = 4, x = - 1

Solution steps

5 x + 5 = x + 1

Square both sides:

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

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

Solve

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

x = 4, x = - 1

Verify Solutions:

x = 4

True

, x = - 1

True

The solutions are

x = 4, x = - 1

x + 3 + 2 - x - x + 8 = 0

5 x = 40

5 x = 20

x - x - 6 = 2 x - 14

1 - x = 2 - 2 x + 1