SOLUTION: Here's a tough-ey... Imaginary Numbers: 2i+3/4-i + 1-i/4+i Any Help Is GREATLY Appreciated. Thank You In Advance.

Question 37560: Here's a tough-ey... Imaginary Numbers:
2i+3/4-i + 1-i/4+i
Any Help Is GREATLY Appreciated.
Thank You In Advance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2i+3/4-i + 1-i/4+i
One fraction at a time:
1st:
(2i+3)/(4-i)
Multiply numerator and denominator by (4+i) to get:
[(2i+3)(4+i)]/[16+1]=[12-2+11i]/17=[10+11i]/17
2nd:
Multiply num and denom by 4-1 to get:
[(1-i)(4-i)]/17= [(4-1)-5i]/17=[3-5i]/17
Adding 1st and 2nd you get:
[13+6i]/17
Cheers,
Stan H.
RELATED QUESTIONS
-3i-x+(2i)^4=3+2i/2-i x=all complex numbers Solve for x Thank You in... (answered by stanbon)

I'm working on some of my homework here is the question.. 3-i/4+2i= here are my... (answered by Mathtut)

How do I find the equation of the line passing through the point (1,1) and parallel to... (answered by jim_thompson5910)

Find all imaginary solutions to each equation. Use the method of your choice. s^2 - 4s (answered by MathLover1)

If i=sqrt(-1), what is the value of i^4? Any help is greatly... (answered by Earlsdon)

I am having a difficult time understanding rational, irrational and complex numbers. So... (answered by scott8148)

Use synthetic division to determine f(i) if f(x)=x^3+2x^2-4 any help would be... (answered by jim_thompson5910)

Simplify: {{{(2x^2* y^-3 / 3x^5* y^2 ) ^-2}}} I cannot seem to get this problem.... (answered by AnlytcPhil,richwmiller)

How would I simplify this three problems. Please help me I have no idea how to even... (answered by jim_thompson5910)