Question

How do you solve `144k^2+7=71`?

Answer 1

`k=2/3`

Explanation:

`144k^2+7=71`

subtract 7:

`144k^2=64`

divide by 144:

`k^2=64/144=4/9`

square root:

`k= +-2/3`

Answer 2

`k=+-2/3`

Explanation:

Isolate `144k^2` by subtracting 7 from both sides.

`144k^2cancel(+7)cancel(-7)=71-7`

`rArr144k^2=64`

divide both sides of the equation by 144

`(cancel(144) k^2)/cancel(144)=64/144`

`rArrk^2=64/144`

To solve for k, take the `color(blue)"square root of both sides"`

`sqrt(k^2)=+-sqrt(64/144)`

`rArrk=+-8/12=+-2/3`

`rArrk=-2/3" or " k=2/3" are the solutions"`