SOLUTION: WRITE AS A COMPLEX NUMBER IN STANDARD FORM ;)
5i/2+i
Algebra.Com
Question 187957: WRITE AS A COMPLEX NUMBER IN STANDARD FORM ;)
5i/2+i
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Please stop writing your questions in ALL CAPS. It is the electronic equivalent of shouting and is therefore both rude and annoying.
Use the technique you learned for rationalizing denominators. Use the conjugate of the binomial in the denominator. (a - b) is the conjugate of (a + b) and the product of a pair of conjugates is the difference of two squares.
 \left(\frac{2-i}{2-i}\right) = \frac{10i - 5(i^2)}{2^2 - i^2} = \frac{10i - 5(-1)}{2^2 - (-1)} = \frac{10i + 5}{4+1} = \frac{5+10i}{5} = 1 + 2i)
John
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