Question

If alpha and beta are the zeroes of the quadratic polynomial 6x^2+x—2 then find the value of. 1) alpha and beta
2)alpha^2+beta^2

Answer 1

1. 6x2 + x - 2

6x2 + 4x - 3x - 2

2x(3x + 2) -1(3x -2)

x=-2/3 or x =1/2

2. (-2/3)whole square + (1/2) whole square

4/9+1/4

0.6944444