1.

If a + b + c =9 and ab + bc + ca =26 then find the value of a2 +b2 +c2  

Answer»

Given (a + b + c) = 9 and (ab + bc + ca) = 26
(a + b + c)2 = 92
⇒ a2 + b2 + c2 + 2(ab + bc + ca)  = 81
⇒ a2 + b2 + c2 + 2(26)  = 81
⇒ a2 + b2 + c2 + 52  = 81
⇒ a2 + b2 + c2   
= 81 − 52 

= 29



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