can sum1 plz help me.. find2 positive real numbers whose sum is 13 and whose product is a maximum! plzz n thnk u

Question

parthkohli · Answer

6 and 7?

anonymous · Answer

no its not :(

parthkohli · Answer

Okay.. they can be decimals too... I get it.

parthkohli · Answer

6.5 * 6.5... This one... Just in the middle

anonymous · Answer

yes thst it bt can u please do it step by step? nn wow tht was fast

anonymous · Answer

xy = 13 and S=x+y
y=13/x -> S=x+13/x then
Differentiate for max  -> 6.5

parthkohli · Answer

Yeah.. I noticed a pattern. If you take 12 and 1, you have the smallest, 11 and 2 gets a little bit bigger, 10 and 3 gets a little bit more bigger ....... 7 and 6, then 6.5 * 6.5 is the biggest one. This is really simple right?

anonymous · Answer

A.M > G.M

13/2 = 6.5

anonymous · Answer

Yes, it's symmetrical so min max same...

anonymous · Answer

thnk u guyz nn yes tht was simple bt i need to do it in steps showing my work.. n they want me to break it down and show it

parthkohli · Answer

@khadija than an 8th grader won't help :P

anonymous · Answer

u r in 8 grade?

parthkohli · Answer

Yes.

anonymous · Answer

The best way is to use the identity airthmetic mean >= geometric mean.

and the rest is just one division.

anonymous · Answer

oh its ok then ;)  n can sum then fo it using the quadratic  equation

anonymous · Answer

can anybody do this question or nt?