Ask your own question, for FREE!
Mathematics 22 Online
OpenStudy (anonymous):

-3-7i/7+10i

OpenStudy (barrycarter):

Are you sure you don't mean (-3-7i)/(7+10i)?

OpenStudy (anonymous):

no i dont know why everybody says there is supposed to be parentheses because thats not what the paper is its rationalizing imaginary denominators

OpenStudy (paxpolaris):

\[{- 3-7i \over 7+10i}={\left( -3-7i \right)\cdot \left( 7-10i \right) \over \left( 7+10i \right) \cdot \left( 7-10i \right)}\]

OpenStudy (paxpolaris):

ps. when writing in a straight line, -3-7i/7+10i would read as:\[-3-{7i \over7}+10i\] you would use parentheses to compensate.

OpenStudy (paxpolaris):

\[{\left( -3-7i \right)\cdot \left( 7-10i \right) \over \left( 7+10i \right) \cdot \left( 7-10i \right)}= {-21+70i^2+30i-49i \over 49-100i^2}\]

OpenStudy (paxpolaris):

\[={-21-70-19i \over 49+100}={-91-19i \over 149}\ or\ -{91+19i \over 149}\]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!