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

The answer to (x-1)^2=1-sqrt(x) is x=0,x=1,x=(3-sqrt(5))/2

Solve for x: (x-1)^2=1-sqrt(x)

The solution is x=0,x=1,x=(3-sqrt(5))/2

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(x - 1)^{2} = 1 - x

x = 0, x = 1, x = \frac{3 - 5}{2}

Decimal Notation

x = 0, x = 1, x = 0.38196 \dots

Solution steps

(x - 1)^{2} = 1 - x

Remove square roots

x^{4} - 4 x^{3} + 4 x^{2} = x

Solve

x^{4} - 4 x^{3} + 4 x^{2} = x : x = 0, x = 1, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

x = 0, x = 1, x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Verify Solutions:

x = 0

True

, x = 1

True

, x = \frac{3 + 5}{2}

False

, x = \frac{3 - 5}{2}

True

The solutions are

x = 0, x = 1, x = \frac{3 - 5}{2}

9 x + 1 = 4 x

4 x - 1 = 9 - x

4 x + 9 = 8 x + 2

- 1 - 2 p = 1

What is the answer to (x-1)^2=1-sqrt(x) ?
The answer to (x-1)^2=1-sqrt(x) is x=0,x=1,x=(3-sqrt(5))/2
Solve for x: (x-1)^2=1-sqrt(x)
The solution is x=0,x=1,x=(3-sqrt(5))/2