What is the answer to a+(-10)/a =-3 ?

The answer to a+(-10)/a =-3 is a=2,a=-5

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a+(-10)/a =-3

a + \frac{- 10}{a} = - 3

a = 2, a = - 5

Solution steps

a + \frac{- 10}{a} = - 3

Simplify

\frac{- 10}{a} : - \frac{10}{a}

a - \frac{10}{a} = - 3

Multiply both sides by

a

a^{2} - 10 = - 3 a

Solve

a^{2} - 10 = - 3 a : a = 2, a = - 5

a = 2, a = - 5

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 2, a = - 5

\frac{1}{2 k ^{2}} = 50

2 + \frac{7}{c} = \frac{2}{5}

\frac{3}{y} - 5 = \frac{20}{2 y}

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

\frac{x}{1 + x ^{2}} = - 0.6289024