Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 32767 by Rasheed.Sindhi last updated on 01/Apr/18

For a,b,c≥0 if a+b+c=n, determine minimum and maximum values of a^2 +b^2 +c^2 −ab−bc−ca.

Fora,b,c⩾0ifa+b+c=n,determineminimumandmaximumvaluesofa2+b2+c2−ab−bc−ca.

Commented by Rasheed.Sindhi last updated on 02/Apr/18

Is it correct a+b+c≤a^2 +b^2 +c^2 −ab−bc−ca≤(a+b+c)^2 ?

Isitcorrecta+b+c⩽a2+b2+c2−ab−bc−ca⩽(a+b+c)2?

Commented by mrW2 last updated on 05/Apr/18

0≤a^2 +b^2 +c^2 −ab−bc−ca≤n^2

0⩽a2+b2+c2−ab−bc−ca⩽n2

Terms of Service

Privacy Policy

Contact: info@tinkutara.com