Question

if a+b+c=9,ab+bc+cd=24 then find a square +b square +c square ​

Answer 1

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

a^2 + b^2 + c^2 + 2(24) = (9)^2

a^2 + b^2 + c^2 = 81 - 48 = 33