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Mathematics 21 Online
OpenStudy (anonymous):

8i/-1+3i=?

OpenStudy (saifoo.khan):

- 5 i

OpenStudy (zarkon):

is it $$\frac{8i}{-1}+3i$$ or $$\frac{8i}{-1+3i}$$

OpenStudy (anonymous):

the second one

OpenStudy (zarkon):

then the answer is $$\frac{12-4i}{5}$$

OpenStudy (anonymous):

but I need you solve every step

OpenStudy (zarkon):

$$\frac{8i}{-1+3i}=\frac{8i}{-1+3i}\frac{-1-3i}{-1-3i}$$ $$=\frac{8i(-1-3i)}{(-1+3i)(-1-3i)}$$ $$=\frac{-8i+24}{(1+9)}$$ $$=\frac{-8i+24}{10}=\frac{-4i+12}{5}=\frac{12-4i}{5}$$

OpenStudy (anonymous):

ok dear. Thanks

OpenStudy (anonymous):

you great

OpenStudy (anonymous):

hey you still there??

OpenStudy (anonymous):

something not make sense to me

OpenStudy (zarkon):

what

OpenStudy (anonymous):

ok 8i(-1-3i)/(-1-3i)((-1-3i) can't be 8i+24/ 1+9 because 8i(-1-3i)= -8i-24i^2

OpenStudy (zarkon):

\[8i(-1-3i)=-8i-24i^2=-8i-24(-1)=-8i+24\]

OpenStudy (anonymous):

ah ok

OpenStudy (anonymous):

thankss alot

OpenStudy (zarkon):

no problem

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