SOLUTION: Evaluate the expression and write the result in the form a + bi.
1/8+10i - 1/8+10i = _____ + _______i
I do not know how to divide complex numbers. Note that that 8+10i is
Algebra.Com
Question 120862This question is from textbook College Algebra
: Evaluate the expression and write the result in the form a + bi.
1/8+10i - 1/8+10i = _____ + _______i
I do not know how to divide complex numbers. Note that that 8+10i is the numerator in both equations.
I would greatly appreciate your help!! Thank you so much.
This question is from textbook College Algebra
Found 2 solutions by checkley71, solver91311:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
I'LL ASSUME YOU MEAN THE (8+10i) IS IN THE DENOMINATOR!!!!!
1/(8+10i)-1/(8+10i)
(8+10i)-(8+10i)/(8+10i)(8+10i)
8-8+10i-10i/(8+10i)(8+10i)
0+0/(8+10i)(8+10i)=0 ANSWER.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm pretty sure you meant to say 8 + 10i is the denominator of both fractions, and your problem actually looks like:
Just like working with any other fractions, if the denominators are equal, then you simply add the numerators.
We could have made this a little more complicated by using a process called rationalizing the denominators, but the result will still be the same. Watch closely.
First thing is to remember that . Having said that, we are now going to multiply each of the fractions by 1, in the form of :
(remember that ), so our denominator becomes 164, giving us:
Now, to add complex numbers, you just add the real parts to the real parts and the imaginary parts to the imaginary parts:
In our problem, we have giving us:
If you need to express 0 in complex number () form, then you would write .
Hope that helps.
RELATED QUESTIONS
evaluate the expression 4+10i/2i and write the result in the form... (answered by josmiceli)
Hi! May I please have some help with this equation for my homework?
Evaluate the... (answered by jim_thompson5910)
Write the expression as a complex number in standard form.
2i-(2+3i)+(1-8i)
When... (answered by scott8148)
Write the expressions as a complex number in standard form
a) 4i(6-i)
b) (5+i)(8+i)
c) (answered by tran3209)
i have many questions
what is the answers to these problems when u divide complex... (answered by josmiceli)
Can I have some help with this expression?
Evaluate the expression and write the... (answered by jim_thompson5910)
What is the expression (6+8i)+(-4+10i) as a complex number in standard... (answered by stanbon)
Do all complex numbers in the form a-bi/bi-a result in -1 and... (answered by josgarithmetic,ikleyn,MathLover1)
Hi, May I get some help with this equation?
Evaluate the expression and write the... (answered by jim_thompson5910)