Question

if alpha and beta are the zeros of the polynomial 29x square+13x+3=0find the value of alpha square +beta square​

Answer 1

Answer:

let p(x)=29x^2+13x+3

since à. and ß are the zeroes given polynomial P(X)

so, à+ß=-b/a = -13/29

and àß ==c/a=3/29

now, à^2+ß^2=(à+ß)²-à.ß

=(-13/29)²-3/29

=169/841-3/29

=169-87/841

=82/841