SOLUTION: Find the quotient, write the answer in standard form.
(8-4i)/(5-2i)
Algebra.Com
Question 4443: Find the quotient, write the answer in standard form.
(8-4i)/(5-2i)
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First let me say that a graphing calculator (TI 83, 84, etc) does this problem FAST! Nevertheless, an algebra solution is probably called for here.
Begin by multiplying numerator and denominator by the conjugate of the denominator. That is, multiply numerator and denominator by the same as the denominator but with the opposite sign in the middle. In this case, multiply numerator and denominator by 5+2i. This rationalizes the denominator--that is, it eliminates any radicals or imaginary numbers from the denominator.
FOIL out the numerator and denominator:
Remember that
Standard form means in the form a + bi, so split that numerator into
If you want to check this answer, get yourself a graphing calculator!!
R^2 at SCC
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