If a² + b² + c² = 125 and ab + bc + ca = 50, find a + b + c.

Question

KnowledgeBoat · Accepted Answer

We know that, (a + b + c)² = a² + b² + c² + 2(ab + bc + ca) Substituting values we get, ⇒ (a + b + c)² = 125 + 2(50) = 125 + 100 = 225. Hence, (a + b + c) = ± 15.

Mathematics

If a² + b² + c² = 125 and ab + bc + ca = 50, find a + b + c.

Expansions

Related Questions

If a + b + c = 12 and ab + bc + ca = 22, find a² + b² + c².

If a + b + c = 12 and a² + b² + c² = 100, find ab + bc + ca.

If a + b - c = 5 and a² + b² + c² = 29, find the value of ab - bc - ca.

If a - b = 7 and a² + b² = 85, then find the value of a³ - b³.

Mathematics

If a2 + b2 + c2 = 125 and ab + bc + ca = 50, find a + b + c.

Expansions

Related Questions

If a + b + c = 12 and ab + bc + ca = 22, find a2 + b2 + c2.

If a + b + c = 12 and a2 + b2 + c2 = 100, find ab + bc + ca.

If a + b - c = 5 and a2 + b2 + c2 = 29, find the value of ab - bc - ca.

If a - b = 7 and a2 + b2 = 85, then find the value of a3 - b3.

If a² + b² + c² = 125 and ab + bc + ca = 50, find a + b + c.

If a + b + c = 12 and ab + bc + ca = 22, find a² + b² + c².

If a + b + c = 12 and a² + b² + c² = 100, find ab + bc + ca.

If a + b - c = 5 and a² + b² + c² = 29, find the value of ab - bc - ca.

If a - b = 7 and a² + b² = 85, then find the value of a³ - b³.