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

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

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(10)/x =x-3

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

x = 5, x = - 2

Solution steps

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

Multiply both sides by

x

10 = x^{2} - 3 x

Solve

10 = x^{2} - 3 x : 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{t}{t + 1} = \frac{t + 1}{3}

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

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

\frac{x}{2 x + 1} = \frac{3}{5}

\frac{9}{x - 3} + 2 = \frac{3 x}{x - 3}