What is the answer to 3/x+7/x =x+3 ?

The answer to 3/x+7/x =x+3 is x=2,x=-5

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3/x+7/x =x+3

\frac{3}{x} + \frac{7}{x} = x + 3

x = 2, x = - 5

Solution steps

\frac{3}{x} + \frac{7}{x} = x + 3

Multiply both sides by

x

10 = x^{2} + 3 x

Solve

10 = x^{2} + 3 x : x = 2, x = - 5

x = 2, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 5

\frac{1}{6} + \frac{1}{x} = \frac{1}{4}

- \frac{3}{x} = 0

\frac{y + 6}{3 - y} = \frac{5 + 2 y}{7 y - 5}

\frac{1}{x} + \frac{6}{x ^{2}} = 1

\frac{x}{x - 1} - \frac{6}{1 - x} = 2