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

Answer 1

Avery Alexander

#n = ± 6isqrt{2}#

#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}#

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Answer 2

Isaiah Anthony

#n=+-6sqrt2i#

#"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#

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Answer 3

Hazel Anglin

To solve the equation (2n^2 = -144):

Divide both sides by 2 to isolate (n^2):

[n^2 = \frac{-144}{2}] [n^2 = -72]

To solve for (n), take the square root of both sides:

[n = \pm \sqrt{-72}]

Breaking down ( \sqrt{-72} ):

[ \sqrt{-72} = \sqrt{72} \times \sqrt{-1}] [ \sqrt{-72} = 6\sqrt{2}i ]

Thus, the solutions for (n) are:

[ n = 6\sqrt{2}i ] [ n = -6\sqrt{2}i ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.