What is the answer to sqrt(11-x)-sqrt(x+6)=3 ?

The answer to sqrt(11-x)-sqrt(x+6)=3 is x=-5

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sqrt(11-x)-sqrt(x+6)=3

11 - x - x + 6 = 3

x = - 5

Solution steps

11 - x - x + 6 = 3

Remove square roots

4 x^{2} + 16 x + 16 = 36 x + 216

Solve

4 x^{2} + 16 x + 16 = 36 x + 216 : x = 10, x = - 5

x = 10, x = - 5

Verify Solutions:

x = 10

False

, x = - 5

True

The solution is

x = - 5

3 x - 11 + 3 = x

3 x - 2 - 9 = 3

x + 5 + 2 = x - 1

3 x + 1 = 4 x - 3

x^{\frac{2}{3}} = \frac{1}{100}

What is the answer to sqrt(11-x)-sqrt(x+6)=3 ?
The answer to sqrt(11-x)-sqrt(x+6)=3 is x=-5
Solve for x: sqrt(11-x)-sqrt(x+6)=3
The solution is x=-5