Question

find the value of 1/alpha -1/beta , if alpha+beta are the zeros of quadratic polynomial x^2+x-2

Answer 1

let us calculate, x^2 + x- 2 =0 
so sum of roots a+ b= -1 
product of roots ab = -2 
so a- b = sqrt( a+b)^2 - 4ab ] 
= sqrt[1+8] 
= +_ 3 
a+ b= -1-----------------------(I) 
a- b = 3------------------------------(II) 
so a= 1 & b = -2and if a+ b = -1 
and a- b= -3 
so a= -2 & b =1 
soo1/a = 1 & 1/b = -1/2 OR 1/a= -1/2 & b= 1 

Answer 2

Answer:

1/alpha -1/ beta = -3/2...........

Step-by-step explanation:

hope it helps you