SOLUTION: Prove that x^2 -x ,is divisible by 2

Question 1068303: Prove that x^2 -x ,is divisible by 2

Found 2 solutions by KMST, rothauserc:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If is a positive integer,
is the product of two consecutive integers,
so one of those integers must be even,
so the product must be even.
Either is even,
with being a positive integer,
and is a multiple of 2,
or dividing by 2 there is a quotient and a remainder {1} .
In that case, , ,
and is a multiple of 2.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
x^2 - x = x * (x - 1)
:
1) if x is even then we have the product of an even and an odd number which is even
:
2) if x is odd then we have the product of an odd number and an even number which is even
:
In both cases(1 and 2) we have an even number which is divisible by 2
:

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