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Complex numbers: Solve for 'm' and 'n' when
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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\[z_{1}=2-3i~~~~,z_{2}=5+4i\] For equation \[mz_{1}+nz_{2}=11+18i\]
inkyvoyd
  • inkyvoyd
x+y=11, w+z=18
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huh?

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inkyvoyd
  • inkyvoyd
wait, are m and n complex?
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i dont know
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i think its a constant
inkyvoyd
  • inkyvoyd
are they integers? or you don't know?
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my teacher just gave me this and tell me to solve
inkyvoyd
  • inkyvoyd
Give me a few minutes, I'll get it.
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ok
anonymous
  • anonymous
\[z_{1}=2-3i~,z_{2}=5+4i\] \[mz_{1}+nz_{2}=11+18i\] \[m(2-3i)+n(5+4i)=11+8i\]
anonymous
  • anonymous
\[2m+5n=8\] \[-3m+4n=11\] etc
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you mean 2m+5n=11 −3m+4n=8 ?
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the real part equate with real number?
inkyvoyd
  • inkyvoyd
Yes. Satellite is correct.
anonymous
  • anonymous
i messed up but yes, what you wrote
anonymous
  • anonymous
i made a typo, should have been \[m(2-3i)+n(5+4i)=11+18i\]
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ok, i got it, thanks!!!!!!
anonymous
  • anonymous
so \[2m+5n=11\] \[-3m+4n=18\] my mistake

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