SOLUTION: 2+9i/9+5i

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Question 1049290: 2+9i/9+5i
Found 3 solutions by stanbon, ikleyn, MathTherapy:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
2+9i/9+5i
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Multiply numerator and denominator by 9-5i to get:
[(2+9i)(9-5i)] / [(9+5i)(9-5i)]
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[18+45+81i-10i] / [81+25]
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[63 - 91i] / 106
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= (63/106) - (91/106)i
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Cheers,
Stan H.
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Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website!
.
Always in such cases multiply the numerator and the denominator by the number conjugate to the denominator.

By doing this way, you will get the same complex number written with a real number in the denominator.

On complex numbers, see the lessons
    - Complex numbers and arithmetic operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number
in this site.

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!

2+9i/9+5i