What is the answer to 4/x+6/2 =x ?

The answer to 4/x+6/2 =x is x=4,x=-1

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4/x+6/2 =x

\frac{4}{x} + \frac{6}{2} = x

x = 4, x = - 1

Solution steps

\frac{4}{x} + \frac{6}{2} = x

Multiply by LCM

8 + 6 x = 2 x^{2}

Solve

8 + 6 x = 2 x^{2} : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 1

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

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

\frac{24}{5 z + 4} = \frac{4}{z - 1}

\frac{( x ^{2} - 4 x - 5 )}{x ^{2} + 1} = 0

\frac{1}{x + 4} = 2