Question

If a, b, c are roots of the equation 1x3-4x2+6.5x + 3.5 = 0, then what is the value of a2 + b2 + c2?

Answer 1

a+b+c=-co-efficient of x2/co-efficient of x3=4
ab+bc+ca=co-efficient of x/co-efficient of x3=6.5
a2+b2+c2= (a+b+c)2-2ab+bc+ca=4^2-2*6.5=16-13=3