SOLUTION: I need help simplifying this y/4-3i

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Question 1066610: I need help simplifying this
y/4-3i

Found 3 solutions by josmiceli, ikleyn, ankor@dixie-net.com:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y%2F%28+4+-+3i+%29+
Multiply top and bottom by +4+%2B+3i+
+%28%28+4+%2B+3i+%29+%2F+%28+4+%2B+3i+%29%29%2A%28+y+%2F+%28+4+-+3i+%29+%29+
+%28+y%2A%28+4+%2B+3i+%29+%29+%2F+%28+16+-+9%2Ai%5E2+%29+
+%28+y%2A%28+4+%2B+3i+%29+%29+%2F+%28+16+%2B+9+%29+
+%28+y%2A%28+4+%2B+3i+%29%29+%2F+25+

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
On complex numbers see the lessons
    - Complex numbers and arithmetic operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane

    - Solved problems on arithmetic operations on complex numbers
in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplifying this
y%2F%284-3i%29
multiply equation by the conjugate of the denominator over itself (same as multiplying by 1)
y%2F%284-3i%29*%284%2B3i%29%2F%284%2B3i%29 = y%284%2B3i%29%2F%2816-9i%5E2%29 = %284y+%2B+3yi%29%2F%2816+-9%28-1%29%29 = %284y+%2B+3yi%29%2F%2816+%2B+9%29 = %284y+%2B+3yi%29%2F25 or %28y%284%2B3i%29%29%2F25