Mathematics
If a2 + b2 + c2 = 50 and ab + bc + ca = 47, find a + b + c.
Expansions
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Answer
By formula,
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca).
Substituting values we get :
⇒ (a + b + c)2 = 50 + 2 × 47
⇒ (a + b + c)2 = 50 + 94
⇒ (a + b + c)2 = 144
⇒ (a + b + c) = .
Hence, (a + b + c) = .
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