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

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

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

x + 6 + 2 - x = 4

x = - 2

Solution steps

x + 6 + 2 - x = 4

Remove square roots

4 x^{2} - 48 x + 144 = 128 - 64 x

Solve

4 x^{2} - 48 x + 144 = 128 - 64 x : x = - 2

x = - 2

Verify Solutions:

x = - 2

True

The solution is

x = - 2

(x + 3)^{\frac{2}{3}} = 5

x - 7 = x - 7

x + 1 + 5 = x

x + 9 - 4 = 1

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