anonymous
  • anonymous
Write the expression in standard form: 3/(3-12i)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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zzr0ck3r
  • zzr0ck3r
multiply top and bottom by 3+12i 3(3+12i)/(9-144)
zzr0ck3r
  • zzr0ck3r
does that make sense?
anonymous
  • anonymous
yeah how do you put it in standard form though?

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zzr0ck3r
  • zzr0ck3r
=(9+36i)/(-135) = (-9/135)-(36i/135)
zzr0ck3r
  • zzr0ck3r
simplify the fractions
anonymous
  • anonymous
right got it so it would be...
anonymous
  • anonymous
-1/17- 4i/17?
zzr0ck3r
  • zzr0ck3r
-1/15-4i/15?
zzr0ck3r
  • zzr0ck3r
135/9=15?
zzr0ck3r
  • zzr0ck3r
all good:)
zzr0ck3r
  • zzr0ck3r
wait you were right
anonymous
  • anonymous
huh?
zzr0ck3r
  • zzr0ck3r
3/(3-12i) = (9+36i)/(9+144) = 9/154 + 36/144 = 1/17+4i/17
zzr0ck3r
  • zzr0ck3r
sorry I didn't multiply by a negative the first time
anonymous
  • anonymous
right all good man thanks!
zzr0ck3r
  • zzr0ck3r
ok good you see what I did?
anonymous
  • anonymous
Yup

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