Two consecutive odd integers have a sum of 0

Question

anonymous · Answer

consecutive odd integers can be represented by (2x+1) and (2x+3)

If x is an integer, 2x would be an even one; therefore, 2x+1 would always be odd. It follows that 2x+3 would be the next consecutive odd integer

So...

(2x+1)+(2x+3) = 0 THEN SOLVE!

anonymous · Answer

Guess and check works fairly well for this sort of problem, if you're taking the ACT for example and don't have time to solve.

tkhunny · Answer

Improvement "Lite"

Define 2x +1 and 2x - 1 as your consecutive odd integers.  Solution is immediate.

Improvement "Massive"

Consecutive odd integers.

If they are both positive, zero will never result from a sum.
If they are both negative, zero will never result from a sum.

How many consecutive odd integers can you imagine where one is positive and the other negative?  Done.