SOLUTION: (-2-3i) ÷(3+4i)

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Question 1174579: (-2-3i) ÷(3+4i)
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

%28-2-3i%29%2F%283%2B4i%29
The general approach to simplifying these expressions is to multiply the fraction by another fraction (equivalant to 1) consisting of the complex-conjugate of the denominator over itself:
= +%28%28-2-3i%29%2F%283%2B4i%29%29+%2A+%28%283-4i%29%2F%283-4i%29%29+
from here, carry out the multiplications, the denominator will become a pure real.
= +%28-6%2B8i-9i+-12%29+%2F+%289%2B16%29+
= +%28-18-i%29%2F25+