Question

If alpha and beta are the zeroes of polynomial 4x^2 - 2x + (K-4) and alpha =1 / beta. find the value of K ​

Answer 1

Answer:

k=8

Step-by-step explanation:

the standard form for an quadratic equation is ax²+bx+c=0

α+β= -b/a and αβ= c/a

the given quadratic equation is 4x²-2x+(k-4)=0

here c = k-4

given that α=1/β which implies

αβ=1 .........(1)

from the given equation:

αβ=(k-4)/4.........(2).

comparing (1) and (2)

(k-4)/4=1

k-4=4

k=4+4=8