What is the answer to 5=(x^2)/(1-x) ?

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

Solve for x: 5=(x^2)/(1-x)

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Decimal Notation

x = 0.85410 \dots, x = - 5.85410 \dots

Solution steps

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

Multiply both sides by

1 - x

5 (1 - x) = x^{2}

Solve

5 (1 - x) = x^{2} : x = \frac{- 5 + 3 5}{2}, x = \frac{- 5 - 3 5}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

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

\frac{x ^{2}}{- 8} = \frac{27}{x}

4 x^{- 2} + 2 x^{- 1} - 2 = 0

\frac{1}{x + 1} = 1 - \frac{4}{x + 7}

\frac{3 x + 18}{x} = x

0.1 = \frac{1}{1 + k}

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