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

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

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sqrt(z-\sqrt{1-z)}+sqrt(z)=1

z - 1 - z + z = 1

z = \frac{16}{25}

Decimal Notation

z = 0.64

Solution steps

z - 1 - z + z = 1

Remove square roots

25 z^{2} = 16 z

Solve

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

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

Verify Solutions:

z = 0

False

, z = \frac{16}{25}

True

The solution is

z = \frac{16}{25}

x - 1 = x - 1

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

x = 14

3 x + 4 = 4

x = x + 2

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