Question

If a and ß are the zeros of the quadratic polynomialſ(x) 6x²+ x- 2, find the value of alpha/beta + beta/alpha​

Answer 1

LET alpha = $ and beta = &

$/& + &/$ = ($^2 + &^2)/ $&............[1] [cross multiply]

$^2 + &^2= ($+&)^2 - 2$&

FROM QUESTION $+& = -1/6 AND $& = -2/6= -1/3

$^2 + &^2 = 1/36 - (-2/3)

= 1/36 + 2/3 = 25/ 36

THEREFORE [1] IS

(25/36) / (-1/3)

=-25/12.