What is the answer to sqrt(2x+7)-sqrt(x+7)=-1 ?

The answer to sqrt(2x+7)-sqrt(x+7)=-1 is x=-3

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sqrt(2x+7)-sqrt(x+7)=-1

2 x + 7 - x + 7 = - 1

x = - 3

Solution steps

2 x + 7 - x + 7 = - 1

Remove square roots

x^{2} - 2 x + 1 = 4 x + 28

Solve

x^{2} - 2 x + 1 = 4 x + 28 : x = 9, x = - 3

x = 9, x = - 3

Verify Solutions:

x = 9

False

, x = - 3

True

The solution is

x = - 3

4 (3 - x)^{\frac{4}{3}} - 5 = 59

15 x + 4 = 4 - 2 x + 3

x + 7 = 2 x + 4

x^{2} + 6 x = 36 - 5 x^{2} + 6 x

x + 7 - 1 = x

What is the answer to sqrt(2x+7)-sqrt(x+7)=-1 ?
The answer to sqrt(2x+7)-sqrt(x+7)=-1 is x=-3
Solve for x: sqrt(2x+7)-sqrt(x+7)=-1
The solution is x=-3