Question

if alfa and bita are tge zeroes of the polynomial x²-x -4 , find 1/alfa +1/bita -alfa×bita​

Answer 1

Answer:

15/4 ,is right answer after solve this problem

Step-by-step explanation:

ax^2+bx+c=0

so,

a=1 ,b=-1 ,c=-4

alfa+bita=-b/a

=-(-1/1)

=1

alfa×bita=c/a

=-4/1

=-4

1/alfa + 1/bita - alfa×bita =[alfa+bita-(alfa×bita)^2] /alfa×bita (taking LCM)

now puting all values and find answer

answer is 15/4