Question

What two numbers = -48 (multiply) and does the two numbers = -13

Answer 1

The two numbers are
`3` and
`-16`.

Explanation:

Two numbers that, when multiplied, result in a product of
`-48`:

`x \cdot y = -48`

Same two numbers when added get a sum of
`-13`:

`x + y = -13`

Solve for x in the summation identity:

`y = -13 - x`

Plug the value back into the product identity and solve for
`x`:

`x \cdot (-13-x) = -48\\-13x - x^2 = - 48\\x^2 + 13x = 48\\x^2 + 13x - 48 = 0\\(x-3)(x+16) = 0`

The roots we found for
`x` were:

`x = 3\\x = -16`

Our two numbers are
`3` and
`-16`. We can test this:

`3 + (-16) = -13\\3 * -16 = -48`