Question

find two intergers whose sum 14 and whose product is 48

Answer 1

even without doing the algebra, surely you can think of two factors of 48 that add to 14 !!
6*8

But, for a more general solution,
x+y = 14
xy = 48
x(14-x) = 48
x^2 - 14x + 48 = 0
(x-6)(x-8) = 0
...