Solving System of Equations: Partial Fraction Decomposition Help

khatche4
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Hello. I'm trying to solve a system of equations problem (for my Partial Fraction Decomposition problem)...

1 = -4 + 2B + 2C + D + E
3 = 4 - 2B + 2C - D + E
3 = -25 + 20B + 10C + 4D + 2E
5 = 25 - 20B + 10C - 4D + 2E

So that boils down to..

1 = 2C + E
3 = 2C + E
3 = 10C + 2E
5 = 10C + 2E
right??

I tried substitution, but that didn't work. Elimination doesn't work, either... So what else? I'm pretty sure you can do it graphically, but I can't remember...

Help, please! I'm doing this last minute (I know I shouldn't be, but I desperately need help!)
 
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Something is not right here.

if you multiply your first equation by 5, you get: 5 = 10C + 5E

but your last equation is: 5 = 10C + 2E

So which is it? I think you may have made a mistake somewhere coming up with these equations.
 
What was the original "partial fractions" problem?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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