Math, asked by svsmani567, 3 months ago

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

Answers

Answered by skumari62529
1

Answer:

(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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