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

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

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(10)/x+1=3x

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

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

Decimal Notation

x = 2, x = - 1.66666 \dots

Solution steps

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

Multiply both sides by

x

10 + x = 3 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{3}{c} + 9 = \frac{9}{c} + 5

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

\frac{1}{x - 2} - \frac{1}{x - 1} = \frac{1}{6}

\frac{5}{( x - 1 )} = 10

\frac{x + 1}{3 x - 2} = \frac{5 x - 4}{3 x + 2}