What is the answer to sqrt(x+2)-1=sqrt(-2-2x) ?

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

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sqrt(x+2)-1=sqrt(-2-2x)

x + 2 - 1 = - 2 - 2 x

x = - 1

Solution steps

x + 2 - 1 = - 2 - 2 x

Remove square roots

4 x + 8 = 9 x^{2} + 30 x + 25

Solve

4 x + 8 = 9 x^{2} + 30 x + 25 : x = - 1, x = - \frac{17}{9}

x = - 1, x = - \frac{17}{9}

Verify Solutions:

x = - 1

True

, x = - \frac{17}{9}

False

The solution is

x = - 1

x^{2} - 6 x = 4

- 18 x^{\frac{1}{2}} = x + 81

x + 8 - 8 x + 8 = 0

2 x - 7 = 7

What is the answer to sqrt(x+2)-1=sqrt(-2-2x) ?
The answer to sqrt(x+2)-1=sqrt(-2-2x) is x=-1
Solve for x: sqrt(x+2)-1=sqrt(-2-2x)
The solution is x=-1