SOLUTION: I would really appreciate some help solving two problems.Thank you in advance for taking the time to help me.On these problems it says to write each answer in the form a + bi.
1)
Algebra.Com
Question 132130: I would really appreciate some help solving two problems.Thank you in advance for taking the time to help me.On these problems it says to write each answer in the form a + bi.
1) (6-i)(3+2i)
2)3i(6+4i)
Found 2 solutions by josmiceli, nycsharkman:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
{1)
(2)
----------------
(1) (note that )
answer
----------------
(2)
answer
Answer by nycsharkman(136) (Show Source): You can put this solution on YOUR website!
1) (6-i)(3+2i)
TO solve, keep in mind that i^2 = -1. We are dealing with complex numbers.
For question 1, use the FOIL METHOD.
6 times 3 = 18
6 times 2i = 12i
-i times 3 = -3i
-i times 2i = -2(i)^2
Like I said above, i^2 = -1
Then, -2(-1) = 2
We now have this:
18 + 12i - 3i + 2
Combine like terms.
9i + 20
Rearrange the terms to get 20 + 9i.
==================================
(2) 3i(6+4i)
For this question, use the distributive rule to remove the parentheses.
3i times 6 = 18i
3i times 4i = 12(i)^2
Of course, i^2 = -1 and so, 12(i)^2 = -12
We now have this:
18i - 12
Rearrange the terms and we get:
-12 + 18i
That's it!
RELATED QUESTIONS
Hi! I would really appreciate some help solving these problems. "Graph the solution set... (answered by Theo)
I would really appreciate any help you could can give me regarding the two following... (answered by Earlsdon)
hello, im a student in calculus
and i need help on some of the equation solving... (answered by Alan3354)
I need some help with these graph problems. I would appreciate some help with solving... (answered by jim_thompson5910)
My name is John, I am in 8th grade, and I would like some help with these two problems... (answered by edjones)
Hi. i would like to know if anyone can help me with a problem. i dont understand what to... (answered by scott8148)
I have two questions that I need help on.
The first one is: The length of a rectangle... (answered by user_dude2008)
Can someone please help me solve this equation: √x-2 = 6√x^3-26. I would... (answered by stanbon)
Can you please help me with these two problems I would appreciate it.
Solve each... (answered by stanbon)