Question 582408
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