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

2 Answers
Dec 22, 2016

Answer:

#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#

Dec 22, 2016

Answer:

#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"#