Another stupid question (1 Viewer)

[coca cola]

x^2 is even, how do you prove that (x^2)/2 is also even?

Is this right: if x^2 is even then x = 2a, therefore x^2 = 4a^2, so (x^2)/2 = 2a^2

But whats the theorem or proof that states that x^2 is even then x = 2a?

 

[coca cola]

I see. Thanks.

I will just write that then, short and simple.

 

[funk_master81]

doesnt

x^2 = x(2)^1

 

[Xayma]

Yes, except in the few cases where x≠0 AND x≠2

 

[mathock]

the easiest way to show this is graphically... grah y=x^2 and then graph y=x^2/2... when its divided by 2, that only means that there is a coefficient of 1/2 in front of the x^s... easy marks

 

[Slidey]

doesnt

x^2 = x(2)^1

Sure does. Just as e = 2.999999 repeating.

 

[Shuter]

Sure does. Just as e = 2.999999 repeating.

Hahahahaha.

 

[Rorix]

f(x) = f(-x)?

 

[Archman]

asking for clarification: even as in graphically even, or numerically even?

 

[Rorix]

i think he means it's divisible by e.

 

[Archman]

ah k, that makes perfect sense now