Question

if alpha and beta are the zeroes of the polynomial x2-5x+k, such that alpha-beta=1, find the value of k.

Answer 1

Hey

Here is your answer,

let α and β are two zeros of given polynomial 
Polynomial = x²-5x+k 
also α-β      = 1
        α         =  1+β
we know c/a = product of zeros 
                 k  =  αβ
                 k  =  (1+β )(β)     ∵[α=1+β]
                 k  =  β+β²______________(1)
also, -b/a = sum of zeros 
             5 = α+β
             5 = β+1+β
             5 = 2β+1
             4 = 2β
             β = 2
put value of β in equation 1
we get ,
k= β+β²
k= 2+2²
k= 2+ 4
k= 6 

Hope it helps you!

Answer 2

Answer:

Hope it helps you all....