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

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

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

The solution is x=(2-sqrt(3))/2 ,x=(2+sqrt(3))/2

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

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

Decimal Notation

x = 0.13397 \dots, x = 1.86602 \dots

Solution steps

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

Multiply both sides by

- x^{2} + 2 x

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

Simplify

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

Switch sides

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

Divide both sides by

- 2

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

Square both sides:

- x^{2} + 2 x = \frac{1}{4}

- x^{2} + 2 x = \frac{1}{4}

Solve

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

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

Verify Solutions:

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

True

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

True

The solutions are

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

8 - 2 x = 2 x - 2

x, 6 = 3 x + 2 y

1.8 = x (x + 2)

3 x + 3 - x + 5 = 2

x^{5} = 32

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