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

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

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

x + 2 + 4 = 6 - 2 - x

x = 2, x = - 2

Solution steps

x + 2 + 4 = 6 - 2 - x

Remove square roots

4 x^{2} - 16 x + 16 = 32 - 16 x

Solve

4 x^{2} - 16 x + 16 = 32 - 16 x : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

True

The solutions are

x = 2, x = - 2

3 x = x + 6

x = 13

x = - 7

(x) = 15 x - 2 x^{2} - x^{3}

x^{2} + 33 - x = 3

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