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Mathematics 23 Online
OpenStudy (anonymous):

(6-7i)/(-10+2i)

OpenStudy (anonymous):

you know what the conjugate of \(-10+2i\) is ?

OpenStudy (anonymous):

is it -10-2i?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

multiply top and bottom by \(-10+2i\) and the reason this works is that \[(a+bi)(a-bi)=a^2+b^2\] a real number

OpenStudy (anonymous):

you don't multiply by the conjugate?

OpenStudy (anonymous):

the denominator will be \[10^2+2^2=104\] the numerator will be whatever you get when you multiply \[(6-7i)(-1+2i)\]

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

yw typo on that last line though

OpenStudy (anonymous):

yeah I noticed that, I figured

OpenStudy (anonymous):

the answer key says -37+29i/52 I am not getting that and that's not what you said

OpenStudy (perl):

would you like help with this?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

|dw:1413517198629:dw|

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