What is the answer to 10x=1+3/x ?

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

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10x=1+3/x

10 x = 1 + \frac{3}{x}

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

Solution steps

10 x = 1 + \frac{3}{x}

Multiply both sides by

x

10 x^{2} = x + 3

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{8}{x + 9} = \frac{5}{x - 3}

\frac{x - 7}{5 x} + 1 = \frac{x + 3}{x}

\frac{3}{( x - 2 )} = \frac{4 - 1}{3}

\frac{3}{2 y} = \frac{16}{y + 2}

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