What is the answer to 2.94=((2x)^2)/((0.2-x)) ?

The answer to 2.94=((2x)^2)/((0.2-x)) is x=(-2.94+sqrt(18.0516))/8 ,x=(-2.94-sqrt(18.0516))/8

Solve for x: 2.94=((2x)^2)/((0.2-x))

The solution is x=(-2.94+sqrt(18.0516))/8 ,x=(-2.94-sqrt(18.0516))/8

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2.94 = \frac{( 2 x ) ^{2}}{( 0.2 - x )}

x = \frac{- 2.94 + 18.0516}{8}, x = \frac{- 2.94 - 18.0516}{8}

Decimal Notation

x = 0.16358 \dots, x = - 0.89858 \dots

Solution steps

2.94 = \frac{( 2 x ) ^{2}}{( 0.2 - x )}

Simplify

\frac{( 2 x ) ^{2}}{0.2 - x} : \frac{4 x ^{2}}{0.2 - x}

2.94 = \frac{4 x ^{2}}{0.2 - x}

Multiply both sides by

0.2 - x

2.94 (0.2 - x) = 4 x^{2}

Solve

2.94 (0.2 - x) = 4 x^{2} : x = \frac{- 2.94 + 18.0516}{8}, x = \frac{- 2.94 - 18.0516}{8}

x = \frac{- 2.94 + 18.0516}{8}, x = \frac{- 2.94 - 18.0516}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0.2

Combine undefined points with solutions:

x = \frac{- 2.94 + 18.0516}{8}, x = \frac{- 2.94 - 18.0516}{8}

\frac{5000}{x ^{2}} - 2 = 0

y, \frac{1}{y - 1} = x

0 = \frac{1}{x + 2}

\frac{2}{3.2} = \frac{6}{x}

\frac{17}{15} = \frac{10}{2 x - 2}

What is the answer to 2.94=((2x)^2)/((0.2-x)) ?
The answer to 2.94=((2x)^2)/((0.2-x)) is x=(-2.94+sqrt(18.0516))/8 ,x=(-2.94-sqrt(18.0516))/8
Solve for x: 2.94=((2x)^2)/((0.2-x))
The solution is x=(-2.94+sqrt(18.0516))/8 ,x=(-2.94-sqrt(18.0516))/8