Question

if alpha ,beta are the zeroes of the polynomial x^2-3x+2 ,then find 1/alpha+1/beta

Answer 1

x²-3x+2

sum= -3

product = 2

x² - 2x -1x + 2

x(x-2) - 1(x-2)

(x-1)(x-2)

from (x-1)

x-1 = 0

x=1

from (x-2)

x-2=0

x=2

a=1 , b=-3 , c=2

alpha = 1

beta=2

1/1 + 1/2 = 3/2

hence your answer is 3/2

hope this helps u :)