Question

if a+b+c=6 and ab+bc+ca=11 find a2+b2+c2

Answer 1

Answer:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ac

36=a²+b²+c²+2(11)

36-22=a²+b²+c²

a²+b²+c²=14

Answer 2

Answer

given that

a+b+c = 6

ab+BC+CA=11

a2+b2 +c2 = ?

we have that

( a+b+c) whole square = a2+b2+c2+2ab+2bc+2ca

=(6) whole square = 2(11)+a2+b2+c2

36=22+a2+b2+c2

36 -22 = a2+ b2+ c2

14= a2+ b2+ c2

ans is 14

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