Question

if alpha and beta are the zeros of the quadratic polynomial F(x)= x2 -px+q,then find the values of 1/alpha +1/beta?

Answer 1

1/alfa + 1/ beta =alfa + beta /alfa * beta...
Now, Acc. to d given polynomial.....
alfa + beta =-b/a=p
alfa *beta =c/a=q
Therefore, req. answer =p/q

Answer 2

★ Ello ★

here is your answer !!!

x² + bx+ c

are Quadratic. equation :-

x² - px + q

on comparing we get

a = 1

b = - p

c = q

now ,

zeroes are given :-

@ + ß = - p/ 1

=> - ( p / 1 )

= > p / 1

@ ß = q / 1

1 / @ + 1 ß.

=> ß + @ / @ß

=>p / q

=> p / q

hope it helps you dear !!

$thanks$