What are the roots of the quadratic equation if the sum is 5 and the product is 6 ?

Let f(x) = ax^2 + bx + c   is a quadratic function such
that x1 and x2 are the roots.

==> Given
that:

x1 + x2 = 5

x1*x2 =
6

But we know that:

x1+ x2 =
-b/a = 5 ==> b= -5 a

Also, we know
that:

x1*x2 = c/a = 6 ==> c = 6
a

==> f(x) = ax^2 -5a x +
6a

We need to find the
roots.

==> ax^2 - 5a x + 6 a =
0

We will divide by
a:

==> x^2 -5x + 6 =
0

==> (x -2)(x-3) =
0

Then, the roots are : x = { 2,
3}