Coordinate Geometry

Question

If a + b + c = 7 and ab + be + ca = 20, find the value of a2 + b2 + c2.

Answer

We know that
(a + b + c)2 = a2 + b2 + c2 + 2 (ab +bc + ca)
⇒    (7)2 = a2 + b2 + c2 + 2(20)
⇒ a2 + b2 + c2 = 9

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