What is the answer to sqrt(6x+6)=x+1 ?

The answer to sqrt(6x+6)=x+1 is x=5,x=-1

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sqrt(6x+6)=x+1

6 x + 6 = x + 1

x = 5, x = - 1

Solution steps

6 x + 6 = x + 1

Square both sides:

6 x + 6 = x^{2} + 2 x + 1

6 x + 6 = x^{2} + 2 x + 1

Solve

6 x + 6 = x^{2} + 2 x + 1 : x = 5, x = - 1

x = 5, x = - 1

Verify Solutions:

x = 5

True

, x = - 1

True

The solutions are

x = 5, x = - 1

- 10 = - 10 - 15 - 2 x

41 - 5 x = x - 9

29 - 5 x = x - 1

7 - 2 x - 5 + x = 4 + 3 x