What is the answer to 3/x-13=10x ?

The answer to 3/x-13=10x is x= 1/5 ,x=-3/2

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3/x-13=10x

\frac{3}{x} - 13 = 10 x

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

Decimal Notation

x = 0.2, x = - 1.5

Solution steps

\frac{3}{x} - 13 = 10 x

Multiply both sides by

x

3 - 13 x = 10 x^{2}

Solve

3 - 13 x = 10 x^{2} : x = \frac{1}{5}, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{600000}{x ^{2} + 300} = 355.6

(\frac{3 - λ ^{5}}{62 - λ}) = 0

\frac{8 + x}{x} - 5 = 0

100 = 200 e^{- 4951}

\frac{8}{15} = \frac{16}{x}