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

2 Answers
LM
Dec 22, 2016

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

Jim G.
Dec 22, 2016

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"

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