What is the answer to x= 1/2 sqrt(1-x)+1 ?

The answer to x= 1/2 sqrt(1-x)+1 is x=1

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x= 1/2 sqrt(1-x)+1

x = \frac{1}{2} 1 - x + 1

x = 1

Solution steps

x = \frac{1}{2} 1 - x + 1

Multiply both sides by

2

x \cdot 2 = \frac{1}{2} 1 - x \cdot 2 + 1 \cdot 2

Simplify

x \cdot 2 = 1 - x + 2

Remove square roots

4 x^{2} - 8 x + 4 = 1 - x

Solve

4 x^{2} - 8 x + 4 = 1 - x : x = 1, x = \frac{3}{4}

x = 1, x = \frac{3}{4}

Verify Solutions:

x = 1

True

, x = \frac{3}{4}

False

The solution is

x = 1

4 b^{- \frac{3}{4}} + 10 = \frac{21}{2}

x + 3 = 4 x + 12

12 x - 12 - x = - 1

- 3 + 3 x = 6

4 x + 2 - 2 x - 4 = 0

What is the answer to x= 1/2 sqrt(1-x)+1 ?
The answer to x= 1/2 sqrt(1-x)+1 is x=1
Solve for x: x= 1/2 sqrt(1-x)+1
The solution is x=1