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Homework Statement
Let S be the sum of all integer values of n such that [tex]\frac {n^2+12n43} {n+6} [/tex] is an integer. What is the value of S.
Homework Equations
Since it's sum, S = [tex]\frac {n} {2} \ (2a+(n1)d) [/tex] where a is the first term.
The [tex]\frac {n^2+12n43} {n+6} [/tex] = x, where x is an integer
The Attempt at a Solution
[tex]\frac {n^2+12n43} {n+6} [/tex]= x
[tex] {n^2+(12x)n436x}[/tex] = 0
basically I have no idea "Let S be the sum of all integer values of n" means?
Is it means that S = n or otherwise? Need clarification for this.
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