5+2i/-6-2i in the form a+bi

Question

triciaal · Answer

rationalize the denominator this means multiply by 1 using the denominator and switch the sign of the 2nd term 
for this problem  denominator is (-6-2i) so we multiply by (-6+2i)
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anonymous · Answer

Thanks, but I'm still not able to come up with the answer that matches the key which is -17-i/20??

triciaal · Answer

can you show your work?  i'll also do it

anonymous · Answer

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triciaal · Answer

you just have calculation error somewhere
the answer is correct the form is -17/20-i/20
remember to watch your signs  I^2 = -1
neg times neg is positive

anonymous · Answer

I appreciate your help - I just don't get it. Thanks for trying to help me.

triciaal · Answer

sorry I have computer problems and could not repond

for the numerator  2i*2i = 4 I^2  and I^2= -1 so it becomes -4
the numerator is therefore -30-4 -2i = -34-2i
the denominator 36-4i^2 = 36 + 4 = 40

reduce to the lowest term by dividing by 2 and write in the form a + bi
(-34-2i) /40 = -17/20 -I/20