SOLUTION: How do I solve problems like 10+5i/10-5i? I thought I just needed to multiply the top by the bottom, but I keep coming up with the worng answer.
Question 582408: How do I solve problems like 10+5i/10-5i? I thought I just needed to multiply the top by the bottom, but I keep coming up with the worng answer. Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! How do I solve problems like 10+5i/10-5i?
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You don't solve it, there's no variable to solve for.
You can rationalize it, get the i out of the denominator.
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10+5i/10-5i
Reduce first
= (2+i)/(2-i)
Multiply NUM and DEN by the conjugate of the DEN, 2+i
= (2+i)*(2+i)/(2-i)*(2+i)
= (4 + 4i + i^2)/(4 - i^2)
= (4 + 4i - 1)/(4 + 1)
= (3 + 4i)/5
or 0.6 + 0.8i
You can put this solution on YOUR website! In order for the fraction to remain the
same, the top and bottom must be multiplied
by the same thing.
Unless I messed it up, this is it
