How do you solve 2n^2 = -144?

2 Answers
Apr 16, 2018

n = ± 6isqrt{2}

Explanation:

2n^2 = -144

n^2 = -72

n = ± sqrt{-72}

The square root of a negative number will always involve complex numbers.

n = ± isqrt{72}

Since 72 / 6^2 = 2

n = ± 6isqrt{2}

Apr 16, 2018

n=+-6sqrt2i

Explanation:

"divide both sides by 2"

rArrn^2=-144/2=-72

color(blue)"take the square root of both sides"

rArrn=+-sqrt-72larrcolor(blue)"note plus or minus"

[sqrt-72=sqrt(36xx2xx-1)=sqrt36xxsqrt2xxsqrt(-1)]

rArrn=+-6sqrt2i