Question

average of a,b,c is p and ab+bc+ca=3, what is the average of (a^2)+(b^2)+(c^2)

Answer 1

Answer:

Given that,

a+b+c/3=p

a+b+c=3p

ab+bc+ca=3

(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)

or, a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ca)

=(3p) ^2-2(3)

=9p^2-6