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

The answer to sqrt(2+\sqrt{x)}=sqrt(x) is x=4

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

2 + x = x

x = 4

Solution steps

2 + x = x

Remove square roots

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

Solve

x = x^{2} - 4 x + 4 : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

False

The solution is

x = 4

7 x - 12 = x

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

x - x + 1 = 4 x - 9

4 x - 2 = 10 x + 6

(2 x^{2} + 8)^{\frac{1}{4}} = x

What is the answer to sqrt(2+\sqrt{x)}=sqrt(x) ?
The answer to sqrt(2+\sqrt{x)}=sqrt(x) is x=4
Solve for x: sqrt(2+\sqrt{x)}=sqrt(x)
The solution is x=4