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

##### 2 Answers

Dec 22, 2016

#### Explanation:

subtract 7:

divide by 144:

square root:

Dec 22, 2016

#### 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#