If a² + b² + c² = 50 and ab + bc + ca = 47, find a + b + c.

Question

KnowledgeBoat · Accepted 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) = .

Mathematics

If a² + b² + c² = 50 and ab + bc + ca = 47, find a + b + c.

Expansions

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Mathematics

If a2 + b2 + c2 = 50 and ab + bc + ca = 47, find a + b + c.

Expansions

Related Questions

If a2 + b2 + c2 = 35 and ab + bc + ca = 23; find a + b + c.

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