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

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

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

2 x + 2 - x + 2 = - 1

x = - 1

Solution steps

2 x + 2 - x + 2 = - 1

Remove square roots

x^{2} - 2 x + 1 = 4 x + 8

Solve

x^{2} - 2 x + 1 = 4 x + 8 : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions:

x = 7

False

, x = - 1

True

The solution is

x = - 1

3 x + 8 = 4 x + 1

(x + 1)^{\frac{2}{3}} = 4

x - 3 x - 18 = 0

2 x - 3 - x + 7 + 2 = 0

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