What is the answer to sqrt(x-\sqrt{1-x)}=1-sqrt(x) ?

The answer to sqrt(x-\sqrt{1-x)}=1-sqrt(x) is x= 16/25

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sqrt(x-\sqrt{1-x)}=1-sqrt(x)

x - 1 - x = 1 - x

x = \frac{16}{25}

Decimal Notation

x = 0.64

Solution steps

x - 1 - x = 1 - x

Remove square roots

25 x^{2} = 16 x

Solve

25 x^{2} = 16 x : x = 0, x = \frac{16}{25}

x = 0, x = \frac{16}{25}

Verify Solutions:

x = 0

False

, x = \frac{16}{25}

True

The solution is

x = \frac{16}{25}

2 x - 5 = 2

x = x^{\frac{1}{2}}

(x - 5)^{\frac{2}{3}} = 16

x + 3 = x - 3

x + 7 = x - 5

What is the answer to sqrt(x-\sqrt{1-x)}=1-sqrt(x) ?
The answer to sqrt(x-\sqrt{1-x)}=1-sqrt(x) is x= 16/25
Solve for x: sqrt(x-\sqrt{1-x)}=1-sqrt(x)
The solution is x= 16/25