Question

If one zero of 2 x square - 3 x plus k is reciprocal of the another then find the value of k

Answer 1

let α,β be the roots

given α=1/β

α+β=3/2

1/β+β=3/2

1+β^2/β=3/2

αβ=k/2

β•1/β=k/2

k=2