Question

I alpha and beta other zeros of the polynomial x^2+5x+k such that Alpha - beta=1 , find the value of k​

Answer 1

Answer:

k = 6

Step-by-step explanation:

We know that ,

α+β=b/a

and

αβ = c/a

α+β = 5     eq (1)

αβ = k        eq(2)

α-β = 1        eq(3)

from eq(1) and eq (3),

2α = 6

α=3

3-β =1  

-β = -2

β =2

αβ = 2*3 = 6=k

Answer 2

Answer:

(alpha-beta)^2

=(alpha+beta)^2-2.alpha.beta

=5/2^2-2.alpha.beta

=25/4-2k

or,2k=25/4

or,k=25×2/4=25/2

=12.5(ans)