What is the answer to 6/x-2x=9 ?

The answer to 6/x-2x=9 is x=-(9+sqrt(129))/4 ,x=(sqrt(129)-9)/4

Solve for x: 6/x-2x=9

The solution is x=-(9+sqrt(129))/4 ,x=(sqrt(129)-9)/4

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

x = - \frac{9 + 129}{4}, x = \frac{129 - 9}{4}

Decimal Notation

x = - 5.08945 \dots, x = 0.58945 \dots

Solution steps

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

Multiply both sides by

x

6 - 2 x^{2} = 9 x

Solve

6 - 2 x^{2} = 9 x : x = - \frac{9 + 129}{4}, x = \frac{129 - 9}{4}

x = - \frac{9 + 129}{4}, x = \frac{129 - 9}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{9 + 129}{4}, x = \frac{129 - 9}{4}

\frac{7}{x} = \frac{4}{6}

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

(1 - 8000 r)^{- 1} = 1 + r (10000)

0.1875 = \frac{1000}{x + 1000}

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

What is the answer to 6/x-2x=9 ?
The answer to 6/x-2x=9 is x=-(9+sqrt(129))/4 ,x=(sqrt(129)-9)/4
Solve for x: 6/x-2x=9
The solution is x=-(9+sqrt(129))/4 ,x=(sqrt(129)-9)/4