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7+4i _____ 4-3i write the complex number in standard form

7+4i _____ 4-3i write the complex number in standard form
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5 votes
7+4i
_____
4-3i write the complex number in standard form

7+4i _____ 4-3i write the complex number in standard form-example-1
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User Lcheylus
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2 Answers

5 votes
(7+4i)(4+3i)/(16+9) =(28 + 21i+ 16i - 12)/25 = (16 + 37i)/25
answered
User Muzikant
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7.8k points
6 votes

(7+4i)/(4-3i)=(7+4i)/(4-3i)\cdot(4+3i)/(4+3i)=(28+21i+16i+12i^2)/(4^2-(3i)^2)=(28+37i-12)/(16-9i^2)\\\\=(16+37i)/(16+9)=(16+37i)/(25)=\boxed{(16)/(25)+(37)/(25)i}
7+4i _____ 4-3i write the complex number in standard form-example-1
answered
User Shyam Achuthan
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8.2k points
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