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

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

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

x + 4 - 6 - x = - 2

x = - 3

Solution steps

x + 4 - 6 - x = - 2

Remove square roots

4 x^{2} - 24 x + 36 = 96 - 16 x

Solve

4 x^{2} - 24 x + 36 = 96 - 16 x : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

False

, x = - 3

True

The solution is

x = - 3

x^{2} - 1 = 3 - x^{2}

9 - x = 0

y, y^{\frac{2}{3}} = x

70 - x - 54 - x = 2

x - 6 = 18 - 3 x

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