HELP WITH THIS COLLEGE ALGEBRA PROBLEM ASAP!?!?!?

Question

anonymous · Answer

(1/2 + sqrt 3/(2) i)^2

anonymous · Answer

$$(\frac{1}{2}+\frac{\sqrt3}{2}i)^2$$ right?

anonymous · Answer

Yes, that's it. @satellite73

anonymous · Answer

if you knew trig you can do it in your head, but in this case i would just multiply out $$(\frac{1}{2}+\frac{\sqrt3}{2}i)(\frac{1}{2}+\frac{\sqrt3}{2}i)$$

jhannybean · Answer

$$(a+b)^2 = a^2+2ab+b^2 ~,~ i^2 = -1$$

anonymous · Answer

you can even use the so called "foil" method, or you can use $$(a+bi)(a+bi)=a^2-b^2+2abi$$

anonymous · Answer

in your case $a=\frac{1}{2}$ adn $b=\frac{\sqrt3}{2}$

anonymous · Answer

if this is not clear, let me know

jhannybean · Answer

oh and $i=\sqrt{-1}$

anonymous · Answer

so would the answer be the same as the problem but a negative in the front and dropping the ^2?

anonymous · Answer

uh yea actually

anonymous · Answer

if by which you mean the answer is 
$$-\frac{1}{2}+\frac{\sqrt3}{2}i$$ then you are correct

anonymous · Answer

awesome, that's what my book says. Thank you!!

anonymous · Answer

This idiot keeps leaving open old questions so that everybody will be too distracted to answer the new important ones.

directrix · Answer

@OpiGeode Spamming is a violation of the OpenStudy CoC. http://openstudy.com/code-of-conduct