What is the answer to 20-7/x =2x ?

The answer to 20-7/x =2x is x=(10+sqrt(86))/2 ,x=(10-sqrt(86))/2

Solve for x: 20-7/x =2x

The solution is x=(10+sqrt(86))/2 ,x=(10-sqrt(86))/2

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20 - \frac{7}{x} = 2 x

x = \frac{10 + 86}{2}, x = \frac{10 - 86}{2}

Decimal Notation

x = 9.63680 \dots, x = 0.36319 \dots

Solution steps

20 - \frac{7}{x} = 2 x

Multiply both sides by

x

20 x - 7 = 2 x^{2}

Solve

20 x - 7 = 2 x^{2} : x = \frac{10 + 86}{2}, x = \frac{10 - 86}{2}

x = \frac{10 + 86}{2}, x = \frac{10 - 86}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10 + 86}{2}, x = \frac{10 - 86}{2}

\frac{12 + 13 x}{4 x} = x

y, y^{- 1} = x

\frac{2 x}{x - 2} = \frac{- 4}{2 - x}

0 = \frac{- 9 x}{x ^{2} + 1}

\frac{2 y}{2 y + 5} - \frac{1}{3} = - 1

What is the answer to 20-7/x =2x ?
The answer to 20-7/x =2x is x=(10+sqrt(86))/2 ,x=(10-sqrt(86))/2
Solve for x: 20-7/x =2x
The solution is x=(10+sqrt(86))/2 ,x=(10-sqrt(86))/2