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Question -

If a2 + b2 + c2 = 250 and ab + bc + ca = 3, find a + b + c.



Answer -

a2 + b2 + c2 = 250, ab + bc +ca = 3
(a+ b + c)2 = a2 + b2 + c2 +2(ab + bc +ca)
= 250+ 2 x3 =250 + 6 = 256
=(±16)2
b c = ±16

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