What is the answer to (x^2)/(0.25-x)=2 ?

The answer to (x^2)/(0.25-x)=2 is x=(-2+sqrt(6))/2 ,x=(-2-sqrt(6))/2

Solve for x: (x^2)/(0.25-x)=2

The solution is x=(-2+sqrt(6))/2 ,x=(-2-sqrt(6))/2

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\frac{x ^{2}}{0.25 - x} = 2

x = \frac{- 2 + 6}{2}, x = \frac{- 2 - 6}{2}

Decimal Notation

x = 0.22474 \dots, x = - 2.22474 \dots

Solution steps

\frac{x ^{2}}{0.25 - x} = 2

Multiply both sides by

0.25 - x

x^{2} = 2 (0.25 - x)

Solve

x^{2} = 2 (0.25 - x) : x = \frac{- 2 + 6}{2}, x = \frac{- 2 - 6}{2}

x = \frac{- 2 + 6}{2}, x = \frac{- 2 - 6}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0.25

Combine undefined points with solutions:

x = \frac{- 2 + 6}{2}, x = \frac{- 2 - 6}{2}

a = \frac{( x )}{( x )}, y^{10} < x

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

\frac{4}{3} + \frac{2}{x} = 4

\frac{16}{25 - x ^{2}} = 0

\frac{3}{x - 3} + 2 = \frac{11}{x - 3}

What is the answer to (x^2)/(0.25-x)=2 ?
The answer to (x^2)/(0.25-x)=2 is x=(-2+sqrt(6))/2 ,x=(-2-sqrt(6))/2
Solve for x: (x^2)/(0.25-x)=2
The solution is x=(-2+sqrt(6))/2 ,x=(-2-sqrt(6))/2