9514 1404 393
Answer:
2 + 5i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]
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In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.
