What is the answer to sqrt(3-2\sqrt{x)}=sqrt(x) ?

The answer to sqrt(3-2\sqrt{x)}=sqrt(x) is x=1

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sqrt(3-2\sqrt{x)}=sqrt(x)

3 - 2 x = x

x = 1

Solution steps

3 - 2 x = x

Remove square roots

4 x = x^{2} - 6 x + 9

Solve

4 x = x^{2} - 6 x + 9 : x = 9, x = 1

x = 9, x = 1

Verify Solutions:

x = 9

False

, x = 1

True

The solution is

x = 1

8 - 7 z - z^{2} + 20 = 0

1 + 2 z = 4 z + 5 + 2 z

2 x + 9 - x = 3

2 x + 4 = x + 2

x - 2 x - 1 = 2

What is the answer to sqrt(3-2\sqrt{x)}=sqrt(x) ?
The answer to sqrt(3-2\sqrt{x)}=sqrt(x) is x=1
Solve for x: sqrt(3-2\sqrt{x)}=sqrt(x)
The solution is x=1