Question

16. If a + b + c = 9 and ab + bc + ca = 26, find a² +b² +c²​

Answer 1

Explanation: Given = a+b+c =9 and ab+bc+CA= 26

Then when we put values,

(9)² = a² + b² + c² + 2×26

81 = (a² +b² +c²) + 52

(a² +b²+c²) = 81-52

(a² + b² + c²) = 29

Answer 2

Answer:

(A+b+c) ^2=a^2 +b^2+c^2+2(ab+bc+ca).

According to the formula,

(9)^2=a2+b2+c2 +2(26).

81=a2 +b2+c2+52.

A2+b2+c2=81-52=29.

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