Solve m+57/m=157/m

$$m + \frac { 57 } { m } = \frac { 157 } { m }$$

Solve for m

$$m=10$$

$$m=-10$$

Steps by Finding Square Root

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$mm+57=157$$

Multiply m and m to get m^{2}.

$$m^{2}+57=157$$

Subtract 57 from both sides.

$$m^{2}=157-57$$

Subtract 57 from 157 to get 100.

$$m^{2}=100$$

Take the square root of both sides of the equation.

$$m=10 m=-10$$

Steps Using the Quadratic Formula

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$mm+57=157$$

Multiply m and m to get m^{2}.

$$m^{2}+57=157$$

Subtract 157 from both sides.

$$m^{2}+57-157=0$$

Subtract 157 from 57 to get -100.

$$m^{2}-100=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -100 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}-4\left(-100\right)}}{2}$$

Square 0.

$$m=\frac{0±\sqrt{-4\left(-100\right)}}{2}$$

Multiply -4 times -100.

$$m=\frac{0±\sqrt{400}}{2}$$

Take the square root of 400.

$$m=\frac{0±20}{2}$$

Now solve the equation m=\frac{0±20}{2} when ± is plus. Divide 20 by 2.

$$m=10$$

Now solve the equation m=\frac{0±20}{2} when ± is minus. Divide -20 by 2.

$$m=-10$$

The equation is now solved.

$$m=10 m=-10$$