What is the answer to 4/x =x+3 ?

The answer to 4/x =x+3 is x=1,x=-4

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4/x =x+3

\frac{4}{x} = x + 3

x = 1, x = - 4

Solution steps

\frac{4}{x} = x + 3

Multiply both sides by

x

4 = x^{2} + 3 x

Solve

4 = x^{2} + 3 x : x = 1, x = - 4

x = 1, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 4

0 = \frac{x - 3}{x - 4}

e^{- 1} = \frac{1}{e}

x, \frac{1}{2 x} - p = 0

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

\frac{m + 5}{m + 2} = 2