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

The answer to sqrt(1-x)=x is x=(-1+sqrt(5))/2

Solve for x: sqrt(1-x)=x

The solution is x=(-1+sqrt(5))/2

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1 - x = x

x = \frac{- 1 + 5}{2}

Decimal Notation

x = 0.61803 \dots

Solution steps

1 - x = x

Square both sides:

1 - x = x^{2}

1 - x = x^{2}

Solve

1 - x = x^{2} : x = \frac{- 1 + 5}{2}, x = \frac{- 1 - 5}{2}

x = \frac{- 1 + 5}{2}, x = \frac{- 1 - 5}{2}

Verify Solutions:

x = \frac{- 1 + 5}{2}

True

, x = \frac{- 1 - 5}{2}

False

The solution is

x = \frac{- 1 + 5}{2}

x - 5 + 1 = x

28 - 6 x = x - 6

4 x + 15 = 3 x

3 x + 7 + x + 1 = 2

What is the answer to sqrt(1-x)=x ?
The answer to sqrt(1-x)=x is x=(-1+sqrt(5))/2
Solve for x: sqrt(1-x)=x
The solution is x=(-1+sqrt(5))/2