If a 2 + b 2 + c 2 = 35 and ab + bc + ca = 23; find a + b + c.

By formula, (a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca). Substituting values we get : ⇒ (a + b + c) 2 = 35 + 2 × 23 ⇒ (a + b + c) 2 = 35 + 46 ⇒ (a + b + c) 2 = 81 ⇒ (a + b + c) = . Hence, (a + b + c) = .

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If a + b + c = 12 and a² + b² + c² = 50; find ab + bc + ca.

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

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

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Mathematics

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

Expansions

Related Questions

If a + b + c = 12 and a² + b² + c² = 50; find ab + bc + ca.

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

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

Mathematics

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

Expansions

Related Questions

If a + b + c = 12 and a2 + b2 + c2 = 50; find ab + bc + ca.

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

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

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

If a + b + c = 12 and a² + b² + c² = 50; find ab + bc + ca.

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

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