Question

If alpha and beta are the roots of the equation 3x³ +5x² - 2x = 0 find alpha +1/beta

Answer 1

Let alpha be a and beta be b

a=3,,b=5,,c=-2

a*b=c/a

a*b=-2/3

b=-2/3a

a+b=-b/a

a+b=-5/3

a-(2/3a)=-5/3

a/3=-5/3

a=-5*3/3

a=-5

b=-2*-5/3

b=10/3

ATQ: a+1/b

=-5+3/10

=-47/10