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

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

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x-3=(10)/x

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

x = 5, x = - 2

Solution steps

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

Multiply both sides by

x

x^{2} - 3 x = 10

Solve

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

x = 5, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 2

\frac{1}{x ^{2}} + 4 x^{2} - 4 = 0

\frac{x}{x - 3} + 5 = \frac{3}{x - 3}

\frac{x - 9}{x - 6} = \frac{- 4}{x}

6 - \frac{2}{x} = 10

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