Question

Find ab+bc+ca=11 and a square +b square +c square =14 find a+b+c

Answer 1

Hi ⭐♥️❣️

$(a + b + c) ^{2} \\ = {a}^{2} + {b}^{2} + {c}^{2} + 2(ab + bc + ca) \\ = 14 + 2(11) \\ = 14 + 22 \\ = 36$

$now \\ (a + b + c) {}^{2} = 36 \\ \implies \: a + b + c = 6$

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