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

Simplify

\frac{x ^{2}}{( 0.25 - x )} : \frac{x ^{2}}{0.25 - x}

\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}

\frac{1.2}{x} = 3.75

x, s (x) = \frac{3 x}{x + 5}

t, P = \frac{e}{t}

\frac{k + 6}{4 - k} = \frac{2}{k - 4}

\frac{2}{3} = \frac{3 x - 6}{- 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