SOLUTION: Hello,
I could use some help with this problem.
Simplify the expression.
(6 - <i>i</i>) / (2 + 3<i>i</i>)
Thank you!
Algebra.Com
Question 149993: Hello,
I could use some help with this problem.
Simplify the expression.
(6 - i) / (2 + 3i)
Thank you!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The idea behind simplifying expressions containing complex numbers in their denominator, such as you have here, is to change the denominator into a "real" number.
You do this by multiplying the top and bottom of your expression by the complex conjugate of the denominator.
The conjugate of a complex number (a+bi) is simply (a-bi), so, in your problem,...
The denominator is the complex number (2+3i) and its conjugate is (2-3i), so let's proceed...
...as you can see, we are really multiplying your original expression by and so its value does not change.
Let's perform the indicated multiplication using the FOIL method.
Simplifying all of this and recalling that , we get:
=
RELATED QUESTIONS
Hello,
I could use some help with this problem.
Simplify the expression.... (answered by Fombitz)
Hello,
I could use some help with this problem:
12/x+5 + 5/x = 20/x
Thank you,... (answered by Nate)
solve
{{{2t(t+2)=1}}}
I could use some help with this problem please.
Thank... (answered by stanbon)
Hello, I need some assistance with this problem. Could you please help me with it?... (answered by stanbon)
Could I please have some help with solving this problem and also could you show me how... (answered by rfer)
Rewrite each of the following as an equivalent logarithmic equation. do not solve.
8... (answered by Alan3354)
hello i would like help with this problem please
simplify this expression... (answered by Earlsdon)
hello i would like help with this problem please
simplify this expression... (answered by jim_thompson5910)
hello i would like help with this problem please
simplify this expression... (answered by checkley77)