Question

If a +b + c = 6 and ab + bc + ca = 11, find a² +62 + c2
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Answer 1

Step-by-step explanation:

$(a + b + c) ^{2} = a^{2} + {b}^{2} + {c}^{2} + 2(ab + bc + ac)$

So 6^2 = a^2 + b^2 + c^2 + 2( 11)

36 = 22 + a^2 +b^2+c^2

14 = a^2 +b^2 +c^2