1. ## Inequalities help!!!

I was wondering how I could do this question:
deduce that:
(a+b)2<= 2(a2+b2)

Now, I know that I am able to do it without the first property given, but the original question is a HENCE question... so i was wondering how to do it using the property above.
I can let c and d = 1, but I am not sure whether you can replace them with integer values.
A worked out solution will help me lots in easing up confusion with inequalities.
THANKS GUYS!!!

2. ## Re: Inequalities help!!!

Originally Posted by billjyang
I was wondering how I could do this question:
deduce that:
(a+b)2<= 2(a2+b2)

Now, I know that I am able to do it without the first property given, but the original question is a HENCE question... so i was wondering how to do it using the property above.
I can let c and d = 1, but I am not sure whether you can replace them with integer values.
A worked out solution will help me lots in easing up confusion with inequalities.
THANKS GUYS!!!
Pretty sure you're allowed to since (ad+bc)^2 <= (a^2+b^2)(c^2+d^2) is an identity and hence should work with all a,b,c,d (except restrictions which don't seem to be given) so c =1 and d = 1 should work.

3. ## Re: Inequalities help!!!

The given identity has no restrictions on a,b,c,d except that they all must be real. Letting c=1 and d=1 should be correct

4. ## Re: Inequalities help!!!

Originally Posted by fluffchuck
The given identity has no restrictions on a,b,c,d except that they all must be real. Letting c=1 and d=1 should be correct
Bill that question's not gonna appear on our test lmao. Webber told us remember? Only basic identities lmao

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