What is the answer to 5/(x^2)-(38)/x =16 ?

The answer to 5/(x^2)-(38)/x =16 is x= 1/8 ,x=-5/2

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5/(x^2)-(38)/x =16

\frac{5}{x ^{2}} - \frac{38}{x} = 16

x = \frac{1}{8}, x = - \frac{5}{2}

Decimal Notation

x = 0.125, x = - 2.5

Solution steps

\frac{5}{x ^{2}} - \frac{38}{x} = 16

Multiply by LCM

5 - 38 x = 16 x^{2}

Solve

5 - 38 x = 16 x^{2} : x = \frac{1}{8}, x = - \frac{5}{2}

x = \frac{1}{8}, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{8}, x = - \frac{5}{2}

1 + \frac{7}{x - 2} = \frac{3 x + 7}{x ^{2} - 4}

\frac{5}{x + 8} = \frac{3}{x - 2}

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

\frac{2}{x - 1} + \frac{4}{x + 5} = 7

\frac{1}{33} + \frac{1.5}{x} = \frac{0.5}{12}

What is the answer to 5/(x^2)-(38)/x =16 ?
The answer to 5/(x^2)-(38)/x =16 is x= 1/8 ,x=-5/2
Solve for x: 5/(x^2)-(38)/x =16
The solution is x= 1/8 ,x=-5/2