Question

Find the value of a²+b²+c² when a+b+c=√17 and ab+bc+ca=2

Answer 1

Answer:

Step-by-step explanation:

Using the formula,

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

This formula can also be written as

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Substitute the values given in the question

(√17)² = a² + b² + c² + 2(2)

     17 = a² + b² + c² + 4

      17 - 4 = a² + b² + c²

      ∴ a² + b² + c² = 13