If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 + c2 . – InterviewSolution

1.

If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 + c2 .

Answer»

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

9² = a² + b² + c² + 2(40)

81 = a² + b² + c² + 80

⇒ a² + b² + c² = 1

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