SOLUTION: write the equation as a complex number in standard form. -2-5i over 3i or -2-5i/3i

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Question 377230: write the equation as a complex number in standard form.
-2-5i over 3i or -2-5i/3i
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We can decompose the fraction into (-2)/3i - 5i/3i = -5/3 - (2/3)i. However, even though this method works for this problem, this is not the standard way of rewriting a complex number.
The standard way to simplify a complex number in the form (a+bi)/(c+di)is to multiply top and bottom by the complex conjugate of c+di, or c-di. This becomes
=%28a%2Bbi%29%28c-di%29%2F%28c%2Bdi%29%28c-di%29
=%28%28ac%2Bbd%29%2B%28bc-ad%29i%29%2F%28c%5E2+%2B+d%5E2%29