Question

Q10. If α and β are the zeros of the quadratic equation 3x2 -5x -2 = 0, then evaluate
(1) α2 + β2 (2) α3 + β3

Answer 1

a+b=-b/a
=5/3
ab = c/a
= -2/3
a2+b2
= [ a+ b]2 -2ab
= 25/9 + 4/3
= 37/9