SOLUTION: 2+9i/9+5i
Algebra.Com
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(52776) (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
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