Question

if alpha and beta are the zeros of the polynomial 2 x square - 3 x + k such that Alpha minus beta is equal to half then find the value of k​

Answer 1

Answer:

Given if αβ are zeroes of quadratic polynomial

f(x)=x

2

−5x+k (1)

& α−β=1

& α−β=5 & αβ = k

we know (α+β)

2

−(α−β)

2

=4αβ

25−1=4αβ

αβ=

4

24

=6

∴ value of k = αβ=6.

hope it helps