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

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

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4/x+2=2x

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

x = 2, x = - 1

Solution steps

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

Multiply both sides by

x

4 + 2 x = 2 x^{2}

Solve

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

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 1

x, f = \frac{x + y}{x - y}

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

k, r = \frac{k}{k - 8}

\frac{14}{y} + \frac{26}{y} = 5

c, 70% + \frac{f}{c} = 1