Question

If one zero of 2z^2- 3x+ k is the reciprocal of the other , find the value of k

Answer 1

Hi ,

( plz , check the problem i think there is

a typing error . z instead of x )

Let p( x ) = 2x ^2 - 3x + k

compare this with ax^2 + bx + c we get

a = 2 ; b = -3 ; c = k

according to the problem ,

one zero is reciprocal to another,

let us assume

one zero = p

second zero = 1/p

product of the zeroes = c / a

p × 1/ p = k / 2

1 = k /2

2 = k

therefore ,

k = 2

i hope this will useful to you.

*****

Answer 2

Hello friend !!

I think there is a small error in your question !!

The actual polynomial should be 
 = 2x² - 3x + k


a = 2
 b = -3
 c = k 

Given :-
one zero is reciprocal to another,


one zero = α

second zero = 1/α

product of the zeroes =  c / a 

α × 1/α = k / 2

1 = k/2

k = 2 × 1 = 2 

k = 2

Hope this Helps You !!