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Mathematics 19 Online
OpenStudy (jilltalks):

5+5i/6+5i

satellite73 (satellite73):

as in "divide and write in standard form?

OpenStudy (jilltalks):

yes

OpenStudy (jilltalks):

I know you multiply the conjugate of the equation in the denominator

satellite73 (satellite73):

multply top and bottom by the conjugate of the denominator the conjugate of \(a+bi\) is \(a-bi\) and this works because \[(a+bi)(a-bi)=a^2+b^2\] a real number

satellite73 (satellite73):

\[\frac{5+5i}{6+5i}\times \frac{6-5i}{6-5i}\] is step one

satellite73 (satellite73):

the denominator is a no braniner, \[6^2+5^2=36+25=61\] all the work is in the top

OpenStudy (jilltalks):

43+5i/61 ?

OpenStudy (jilltalks):

I mean 43+15i/61

OpenStudy (518nad):

numerator is wrong

OpenStudy (jilltalks):

oh i see what i did wrong

OpenStudy (518nad):

okay

OpenStudy (jilltalks):

55+5i/61?

OpenStudy (518nad):

yes

satellite73 (satellite73):

and don't forget two write it in standard form when you are done

OpenStudy (518nad):

try to put brackets where they should go, (55+5i)/61

OpenStudy (seratul):

It should be in standard form so \[\frac{ 55 }{ 61 }+\frac{ 5i }{ 61 }\]

OpenStudy (jilltalks):

thank you

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