Question

Find the quadratic polynomial, the sum of whose zeros is 5/2 and their product is 1. Hence, find the zeroes if their polynomial.

Answer 1

Dear friend,
let zeros be x and y.
x+y=5/2
2x+2y=5
x=(5-2y)/2
xy=1
(5-2y)y/2=1
5y-2y^2=2
2y^2-5y+2=0
2y^2-4y-y+2=0
2y(y-2)-1(y-2)=0
(y-2)(2y-1)=0
So, y=2 and y=1/2
2 and 1/2 are the zeros.
hope it helps u.

Answer 2

here is your answer.
hope it helps