Question

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

Answer 1

Given: 2x²-3x+k ____eqn 1

Let the two zeroes be α & 1/α

Quadratic form : ax²+bx+c ______eqn 2

On comparing eqn 1 & eqn 2,

we get,

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

Product of zeroes = α × 1/α = 1

Product of zeroes= c/a

1= k/ 2

K= 2

Answer 2

Answer:

$\alpha \times \frac{1}{ \alpha } = \frac{k}{2}$

k=2