Q. 304.0( 6 Votes )

# If <span lang="EN

Answer :

Given that: a + b + c = 9 and 𝑎𝑏 + 𝑏𝑐 + 𝑐𝑎 = 26

Using the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca, we have(9)2 = a2 + b2 + c2 + 2(ab + bc + ca)

81 = a2 + b2 + c2 + 2(26)

81 = a2 + b2 + c2 + 52

81 − 52 = a2 + b2 + c2

a2 + b2 + c2= 29

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