Question

if a and b are the zeroes of the polynomial x2+4x++3, find the value of a/b+b/a

Answer 1

Step-by-step explanation:

sum of zeroes= a+b= - coefficient of x/ coefficient of x^2 = -4/1= -4

product of zeroes=ab= coefficient of constant/ coefficient of x^2= 3/1=3

To find: a/b+b/a= ?

a/b+b/a= (a^2+b^2) / (ab)

={(a+b)^2 - 2ab} / (ab)

= {(-4)^2 - 2(3)}/ (3)

= (16-6)/(3)

= 10/3