Question

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

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Answer 1

Answer:

we know that,

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

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

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

or, a^2+b^2+c^2 = 29