Question

If alpha and Bata are the zero of polynomials of x^2-5x+k such that alpha - beta = 1,Find the value of k

Answer 1

Answer:

IF YOU LIKE IT, PLEASE FOLLOW ME.

Answer 2

Answer:

3/2

Step-by-step explanation:

for a polynomial,x^2-5x+k,

the sum of the roots of ax^2+bx+c is -b/a,

therefore alpha+beta=-(-5)/1=5

given that alpha-beta=1,

by solving above two eqns,we get alpha=3,beta=2,

the product of roots of ax^2+bx+c is c/a,

alpha/beta=3/2

here c=k=3/2.