L.7. If a+b+c=9 and ab+bc+ca=23 then a2+b2+c2= – InterviewSolution

1.

L.7. If a+b+c=9 and ab+bc+ca=23 then a2+b2+c2=

Answer»

a² + b² + c² = 35

Explanation:

a + B + C = 9

ab + BC +CA = 23

by identity,

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

a² + b² + c² = (9)² - 2 * 23

a² + b² + c² = 81 - 46

a² + b² + c² = 35

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