What is the answer to x-5/(4x)= 9/4 ?

The answer to x-5/(4x)= 9/4 is x=(9+sqrt(161))/8 ,x=(9-sqrt(161))/8

Solve for x: x-5/(4x)= 9/4

The solution is x=(9+sqrt(161))/8 ,x=(9-sqrt(161))/8

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x - \frac{5}{4 x} = \frac{9}{4}

x = \frac{9 + 161}{8}, x = \frac{9 - 161}{8}

Solution steps

x - \frac{5}{4 x} = \frac{9}{4}

Multiply by LCM

4 x^{2} - 5 = 9 x

Solve

4 x^{2} - 5 = 9 x : x = \frac{9 + 161}{8}, x = \frac{9 - 161}{8}

x = \frac{9 + 161}{8}, x = \frac{9 - 161}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9 + 161}{8}, x = \frac{9 - 161}{8}

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

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

\frac{2}{5} = \frac{7}{x}

- \frac{4}{x - 1} = - \frac{4}{3}

\frac{x - 4}{9} = \frac{1}{x + 4}

What is the answer to x-5/(4x)= 9/4 ?
The answer to x-5/(4x)= 9/4 is x=(9+sqrt(161))/8 ,x=(9-sqrt(161))/8
Solve for x: x-5/(4x)= 9/4
The solution is x=(9+sqrt(161))/8 ,x=(9-sqrt(161))/8