Question 216920: Express each complex number in the form a+bi. (2i/2+i)-(5/2-i)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Express each complex number in the form a+bi. (2i/2+i)-(5/2-i)
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(2i/(2+i))-(5/(2-i))
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lcd = (2+i)(2-i) = 5
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Rewrite each fraction with the lcd as its denominator:
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[2i(2-i)/lcd] - [5(2+i)/lcd]
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Combine the numerators over the lcd:
[4i+1 -10-5i]/lcd
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Simplify the numerator:
[-9-i]/5
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= (-9/5) + (-1/5)i
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Cheers,
Stan H.
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