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Question
a + b + c = 6, ab + bc + ac = 11 ∴ a2 + b2 + c2 = ______.
Options
25
14
47
58
MCQ
Fill in the Blanks
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Solution
a + b + c = 6, ab + bc + ac = 11 ∴ a2 + b2 + c2 = 14.
Explanation:
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ac)
(6)2 = a2 + b2 + c2 + 2(11)
36 = a2 + b2 + c2 + 22
a2 + b2 + c2 = 36 − 24
a2 + b2 + c2 = 14
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