Question

If a+b+c=12 and ab=bc+ca=22.find the value of a 2 +b 2 +c 2

Answer 1

a+b+c=12
(a+b+c)^2=12^2
a^2+b^2+c^2+2(ab+bc+ca)=144
a^2+b^2+c^2 + 44=144
a^2+b^2+c^2 =144-44
a^2+b^2+c^2 =100

Answer 2

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a+b+c=12

(a+b+c)^2=12^2

a^2+b^2+c^2+2(ab+bc+ca)=144

a^2+b^2+c^2 + 44=144

a^2+b^2+c^2 =144-44

a^2+b^2+c^2 =100