What is the answer to sqrt(9x+9)=x+1 ?

The answer to sqrt(9x+9)=x+1 is x=8,x=-1

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sqrt(9x+9)=x+1

9 x + 9 = x + 1

x = 8, x = - 1

Solution steps

9 x + 9 = x + 1

Square both sides:

9 x + 9 = x^{2} + 2 x + 1

9 x + 9 = x^{2} + 2 x + 1

Solve

9 x + 9 = 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

x + 7 - 3 x = 1

7 x + 18 = x + 4

x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 15 = 0

3 - x = x - 3

y, x^{\frac{2}{3}} + y^{\frac{2}{3}} = 4