Question

If ab+bc+ca =26 and a+b+c =9, find a^2 +b^2+c^2

Answer 1

Step-by-step explanation:

6qwd684d65477d6587sdddff ( means I don't know)

Answer 2

Answer:

29.

Step-by-step explanation:

Given, a+b+c=9 and ab+bc+ca=26.

We know, (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab +2bc + 2ca

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

Putting the values here, we get,

(9)^2 = a^2 + b^2 + c^2 + 2(26)

81 = a^2 + b^2 + c^2 + 52

Thus a^2 + b^2 + c^2 = 81 - 52 i.e. 29.