What is the answer to 0.2=(x^2)/(85-x) ?

The answer to 0.2=(x^2)/(85-x) is x=(-1+9sqrt(21))/(10),x=-(1+9sqrt(21))/(10)

Solve for x: 0.2=(x^2)/(85-x)

The solution is x=(-1+9sqrt(21))/(10),x=-(1+9sqrt(21))/(10)

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0.2 = \frac{x ^{2}}{85 - x}

x = \frac{- 1 + 9 21}{10}, x = - \frac{1 + 9 21}{10}

Decimal Notation

x = 4.02431 \dots, x = - 4.22431 \dots

Solution steps

0.2 = \frac{x ^{2}}{85 - x}

Multiply both sides by

85 - x

0.2 (85 - x) = x^{2}

Solve

0.2 (85 - x) = x^{2} : x = \frac{- 1 + 9 21}{10}, x = - \frac{1 + 9 21}{10}

x = \frac{- 1 + 9 21}{10}, x = - \frac{1 + 9 21}{10}

Verify Solutions

Find undefined (singularity) points:

x = 85

Combine undefined points with solutions:

x = \frac{- 1 + 9 21}{10}, x = - \frac{1 + 9 21}{10}

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

\frac{2}{x + 2} - \frac{7}{x - 5} = 10

x - \frac{6}{x - 5} = 0

\frac{3}{x} = 6

\frac{5}{y - 7} = \frac{3}{y - 5}

What is the answer to 0.2=(x^2)/(85-x) ?
The answer to 0.2=(x^2)/(85-x) is x=(-1+9sqrt(21))/(10),x=-(1+9sqrt(21))/(10)
Solve for x: 0.2=(x^2)/(85-x)
The solution is x=(-1+9sqrt(21))/(10),x=-(1+9sqrt(21))/(10)