What is the answer to 8/x =x+2 ?

The answer to 8/x =x+2 is x=2,x=-4

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8/x =x+2

\frac{8}{x} = x + 2

x = 2, x = - 4

Solution steps

\frac{8}{x} = x + 2

Multiply both sides by

x

8 = x^{2} + 2 x

Solve

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

x = 2, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 4

\frac{1}{3} + \frac{1}{4} = \frac{1}{x}

0.015 = 0.016 \times \frac{0.6}{x}

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

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

\frac{60}{x - 1} = \frac{36}{x - 1} + 12