What is the answer to sqrt(2x+2)-sqrt(x+8)=-1 ?

The answer to sqrt(2x+2)-sqrt(x+8)=-1 is x=1

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sqrt(2x+2)-sqrt(x+8)=-1

2 x + 2 - x + 8 = - 1

x = 1

Solution steps

2 x + 2 - x + 8 = - 1

Remove square roots

x^{2} - 14 x + 49 = 4 x + 32

Solve

x^{2} - 14 x + 49 = 4 x + 32 : x = 17, x = 1

x = 17, x = 1

Verify Solutions:

x = 17

False

, x = 1

True

The solution is

x = 1

3 x + 8 = x + 2

y, y = x

4 x + 29 = x + 6

2 x - 4 - \frac{4}{2 x - 4} = 0

3 x - 7 + 2 x - 1 = 0

What is the answer to sqrt(2x+2)-sqrt(x+8)=-1 ?
The answer to sqrt(2x+2)-sqrt(x+8)=-1 is x=1
Solve for x: sqrt(2x+2)-sqrt(x+8)=-1
The solution is x=1