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

The answer to sqrt(x+2)=2+sqrt(x-6) is x=7

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

x + 2 = 2 + x - 6

x = 7

Solution steps

x + 2 = 2 + x - 6

Remove square roots

16 = 16 x - 96

Solve

16 = 16 x - 96 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

- 1 = y + 11 - y

(x^{2} + 4 x + 5)^{\frac{3}{2}} + 1 = 0

x, 2 x + 1 = y + 1

(x x)^{2} = 64

(x + 5) (x^{2} + 1) = 0

What is the answer to sqrt(x+2)=2+sqrt(x-6) ?
The answer to sqrt(x+2)=2+sqrt(x-6) is x=7
Solve for x: sqrt(x+2)=2+sqrt(x-6)
The solution is x=7