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Question

If a+b+c=6 and ab+bc+ca=16, find the value of a2+b2+c2.

A
4
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B
6
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C
10
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D
36
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Solution

The correct option is A 4
Given a+b+c=6 and ab+bc+ca=16
Using the formula,
(a+b+c)2=a2+b2+c2+2(ab+bc+ca)
62=a2+b2+c2+2(16)
36=a2+b2+c2+32
a2+b2+c2=3632=4

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