What is the answer to 0.2=(x^2)/(45-x) ?

The answer to 0.2=(x^2)/(45-x) is x=(-1+sqrt(901))/(10),x=-(1+sqrt(901))/(10)

Solve for x: 0.2=(x^2)/(45-x)

The solution is x=(-1+sqrt(901))/(10),x=-(1+sqrt(901))/(10)

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0.2 = \frac{x ^{2}}{45 - x}

x = \frac{- 1 + 901}{10}, x = - \frac{1 + 901}{10}

Decimal Notation

x = 2.90166 \dots, x = - 3.10166 \dots

Solution steps

0.2 = \frac{x ^{2}}{45 - x}

Multiply both sides by

45 - x

0.2 (45 - x) = x^{2}

Solve

0.2 (45 - x) = x^{2} : x = \frac{- 1 + 901}{10}, x = - \frac{1 + 901}{10}

x = \frac{- 1 + 901}{10}, x = - \frac{1 + 901}{10}

Verify Solutions

Find undefined (singularity) points:

x = 45

Combine undefined points with solutions:

x = \frac{- 1 + 901}{10}, x = - \frac{1 + 901}{10}

\frac{3}{x} = \frac{9}{4 x} + 3

\frac{4}{x} = \frac{7}{4 x} + 3

\frac{4}{8 - x} = \frac{3}{4}

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

\frac{x - 9}{x - 6} = \frac{2}{9}

What is the answer to 0.2=(x^2)/(45-x) ?
The answer to 0.2=(x^2)/(45-x) is x=(-1+sqrt(901))/(10),x=-(1+sqrt(901))/(10)
Solve for x: 0.2=(x^2)/(45-x)
The solution is x=(-1+sqrt(901))/(10),x=-(1+sqrt(901))/(10)