a,b and c are integers such that
(x−a)(x−20)+1=(x+b)(x+c).
What is the sum of all possible values of a?

Details and assumptions
The equation is an algebraic identity.

Question

a,b and c are integers such that
(x−a)(x−20)+1=(x+b)(x+c).
What is the sum of all possible values of a?

Details and assumptions
The equation is an algebraic identity.

anonymous · Answer

@hartnn can you solve this?

anonymous · Answer

@hartnn  are you a student?

hartnn · Answer

i just completed my studies :)
and i am trying this, not sure if i could solve...

anonymous · Answer

umm....1 question what do you mean by coprime?

hartnn · Answer

two integers a and b are said to be coprime, relatively prime or mutually prime if the only positive integer that evenly divides both of them is 1

equivalent to saying that gcd of them =1

anonymous · Answer

owww so 13 and 20 are coprime right?

hartnn · Answer

yes, correct.

anonymous · Answer

um i'm gonna post a question in which i know nothing about..see if you can answer it