What is the answer to 3/x+1=2x ?

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

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3/x+1=2x

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

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

Decimal Notation

x = 1.5, x = - 1

Solution steps

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

Multiply both sides by

x

3 + x = 2 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2}{6} = \frac{9}{x}

\frac{30}{x} = - 2

a, r = \frac{m}{a ( b + c )}

\frac{10}{12} = \frac{2}{n}

\frac{5}{x} = 0.75