Question

If a and c are such that the polynomial ax Square - 5x + c = 0 has 10 as the sum of the zeroes and also as the product of the zeroes. Find a and c.

Answer 1

let x and y are roots of the given equation
then
x+y=10
xy=10
we know that x+y=-b/a
xy=c/a
5/a=10
a=5/10

c/a=xy
c/(1/2)=10
c=5

Answer 2

Here is your solution