SOLUTION: Hello. My son is struggling with complex numbers and this stuff is like a second language to me. Any help is greatly appreciated. Thanks.
1) 4i^5-6i^4+3i^3-9i^2
2) 3i^4-(2i-6
Algebra.Com
Question 394194: Hello. My son is struggling with complex numbers and this stuff is like a second language to me. Any help is greatly appreciated. Thanks.
1) 4i^5-6i^4+3i^3-9i^2
2) 3i^4-(2i-6)-5i^2+(2+12i)
3) (4i-5)*(5i-4)
4) (5i+8)/(3i)
5) (11-3i)/(4+5i)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Note:
i = i
i^2 = -1
i^3 = -i
i^4 = 1
etc.
-------
1) 4i^5-6i^4+3i^3-9i^2
= 4i - 6*1+3(-i)-9(-1)
---
= -6+9+4i-3i
= 3+i
--------------------------
2) 3i^4-(2i-6)-5i^2+(2+12i)
= 3-2i+6-5(-1)+2+12i
---
= 3+6+4+2 -2i+12i
---
= 15+10i
----------------------------
3) (4i-5)*(5i-4)
= 20i^2-16i-25i+20
= -20+20-41i
= -41i
---------------------------------
4) (5i+8)/(3i)
= [(-3i)(5i+8)]/[(-3i)(3i)]
---
= [15-24i]/9
---
= [5-8i]/3
---------------------------------
5) (11-3i)/(4+5i)
= [(11-3i)(4-5i)]/[(4+5i)(4-5i)]
---
= [44-55i-12i-15]/[16+25]
---
= [29-67i]/41
=================
Cheers,
Stan H.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
1.
.........
2)
3. .....multiply
4)
.........multiply by to eliminate from denominator
5)
RELATED QUESTIONS
The teacher is asking me to simplify this complex fraction.
1
----- +1
a... (answered by mukhopadhyay)
hello there.
i am having troubles with translating verbal phrases into inequalities..... (answered by checkley79)
I am having a difficult time understanding rational, irrational and complex numbers. So... (answered by scott8148)
you have 50 glasses of juice with an average of 245 ml if the deviation is 4 ml what is... (answered by stanbon)
How is Trig supposed to help me with complex numbers and roots? It doesn't make any... (answered by Alan3354)
Hello, I'm trying to help my son, who is in the 5th grade, with his math homework. I... (answered by richwmiller)
Does anyone have a good website that can explain functions and graphs in plain English. I (answered by stanbon)
Hello, I a having a hard time with this complex numbers problem. Any help is greatly... (answered by jim_thompson5910)
Hello, how do I I find the equation of the line joining (-3,-3) and (4,8)? I need to... (answered by rfer)