The problem related to GCD and LCM.

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Homework Statement


Find the representation of 1 in terms of linear combination of 2003 and 205

Homework Equations


The previous questions ask me to find GCD and LCM, which is 1 and 410 615 respectively

The Attempt at a Solution


And yes, I don't have any freaking idea to solve this :(
 
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What would a linear combination of 2003 and 205 look like?
 
Yes, think of what linear combination means.
What is the form of the linear combination of a and b?
 
Thanks for the help, I got
1=469⋅205-48⋅2003
for the answer
 

Thread 'Finding the nth roots of a complex number'

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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