Question

Socorro!!!!!!!!!!!!!!!!
Se a + b + c = 6, abc = 2, e ab + bc + ac = 11, então a/bc + b/ac + a/ab é igual a??

Answer 1

$(a+b+c)^2=36\\ \\ a^2+b^2+c^2+2(ab+bc+ac)=36\\ \\ a^2+b^2+c^2+2(11)=36\\ \\ \boxed{a^2+b^2+c^2=14}\\ \\ \\ \dfrac{a}{bc}+\dfrac{b}{ac}+\dfrac{c}{ab}=\dfrac{a^2+b^2+c^2}{abc}\\ \\ \dfrac{a}{bc}+\dfrac{b}{ac}+\dfrac{c}{ab}=\dfrac{14}{2}\\ \\ \\ \boxed{\dfrac{a}{bc}+\dfrac{b}{ac}+\dfrac{c}{ab}=7}$