What is the answer to 4x-(13)/x = 3/2 ?

The answer to 4x-(13)/x = 3/2 is x=2,x=-13/8

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4x-(13)/x = 3/2

4 x - \frac{13}{x} = \frac{3}{2}

x = 2, x = - \frac{13}{8}

Decimal Notation

x = 2, x = - 1.625

Solution steps

4 x - \frac{13}{x} = \frac{3}{2}

Multiply by LCM

8 x^{2} - 26 = 3 x

Solve

8 x^{2} - 26 = 3 x : x = 2, x = - \frac{13}{8}

x = 2, x = - \frac{13}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - \frac{13}{8}

x + \frac{1}{x} = \frac{17}{4}

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

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

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

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

What is the answer to 4x-(13)/x = 3/2 ?
The answer to 4x-(13)/x = 3/2 is x=2,x=-13/8
Solve for x: 4x-(13)/x = 3/2
The solution is x=2,x=-13/8