What is the answer to sqrt(2x+6)-sqrt(x+4)=-1 ?

The answer to sqrt(2x+6)-sqrt(x+4)=-1 is x=-3

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sqrt(2x+6)-sqrt(x+4)=-1

2 x + 6 - x + 4 = - 1

x = - 3

Solution steps

2 x + 6 - x + 4 = - 1

Remove square roots

x^{2} + 2 x + 1 = 4 x + 16

Solve

x^{2} + 2 x + 1 = 4 x + 16 : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

False

, x = - 3

True

The solution is

x = - 3

x + 15 = x - 5

2 x^{\frac{5}{3}} - 18 x = 0

x^{\frac{2}{3}} = x - 4

24 - 2 x = x

2 - 2 x + 3 = 2 x - 1

What is the answer to sqrt(2x+6)-sqrt(x+4)=-1 ?
The answer to sqrt(2x+6)-sqrt(x+4)=-1 is x=-3
Solve for x: sqrt(2x+6)-sqrt(x+4)=-1
The solution is x=-3