What is the answer to sqrt(x+\sqrt{2+x)}=2 ?

The answer to sqrt(x+\sqrt{2+x)}=2 is x=2

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sqrt(x+\sqrt{2+x)}=2

x + 2 + x = 2

x = 2

Solution steps

x + 2 + x = 2

Remove square roots

2 + x = 16 - 8 x + x^{2}

Solve

2 + x = 16 - 8 x + x^{2} : x = 7, x = 2

x = 7, x = 2

Verify Solutions:

x = 7

False

, x = 2

True

The solution is

x = 2

x - 2 = x

2 x - 1 + 3 = 7 x + 1

a = \frac{8}{4}

x, y = 4 x^{\frac{3}{5}}

What is the answer to sqrt(x+\sqrt{2+x)}=2 ?
The answer to sqrt(x+\sqrt{2+x)}=2 is x=2
Solve for x: sqrt(x+\sqrt{2+x)}=2
The solution is x=2