Question

How do you solve `36= 49m ^ { 2}`?

Answer 1

See a solution process below:

Explanation:

First, divide each side of the equation by `color(red)(49)` to isolate `m^2` while keeping the equation balanced:

`36/color(red)(49) = (49m^2)/color(red)(49)`

`36/49 = (color(red)(cancel(color(black)(49)))m^2)/cancel(color(red)(49))`

`36/49 = m^2`

`m^2 = 36/49`

Next, take the square root of each side of the equation to solve for `m` while keeping the equation balanced. Remember, the square root of a number produces a negative and positive result:

`sqrt(m^2) = +-sqrt(36/49)`

`m = +-(sqrt(36))/(sqrt(49))`

`m = +-6/7`

Answer 2

The answer is `+-6/7.` See below for an explanation!

Explanation:

1. Divide 36 by 49.

`36/49 = (49m^2)/49`

`36/49 = m^2`

2. Take the square root of both sides.

`sqrt(36/49) = sqrt(m^2)`

3. Simplify.

`+-6/7 = m`