Question

find two integers whose sum is 96 and whose product is 1728

Answer 1

a + b = 96
ab = 1728

Note (x-a)(x-b) = x^2 - (a+b)x + ab

So we can say the solutions are the solutions to the quadratic:

x^2 - 96x+1728 = 0

Answer 2

y do we take the formula (x-a)(x-b)

Answer 3

Because I'm a badass. It's just an (in my opinion) slightly slicker operation.

You can go a = 96 - b => ab = (96-b)b = 1728 etc, and it leads to the same thing.

Answer 4

Then plug that back in for a.

Answer 5

okay thanx