Question

if alpha and beta of the zero of the polynomials 2x^2-3x+k such that alpha-beta is 1/2, find the value of k​

Answer 1

Answer:

k=1

Step-by-step explanation:

Given if αβ are zeroes of quadratic polynomial

f(x)=2x^2−3x+k

& α−β=1/2

& α+β=3/2 & αβ = k/2

we know (α+β)^2 −(α−β)^2=4αβ

9/4−1/4=4αβ

αβ= 4/4=1

∴ value of k = αβ=1.