Question

if a+b+c=12 and ab+bc+ca=12 find a²+b²+c²​

Answer 1

Answer:

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

(12)2=a2+b2+c2+2(12)

144=a2+b2+c2+24

a2+b2+c2=144-24

::120

a2+b2+c2=120

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Answer 2

Answer:

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

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

(12)2 =a2+b2+c2+2×(12)

a2+b2+c2= 144-24

a2+b2+c2 = 120