Question

Two numbers multiply to be -15 and adds to be 2 what are the numbers?

Answer 1

Assuming x and y are the two numbers,

`x + y = 2 \\ x * y = - 15`


`x + y = 2 \\ x = 2 - y`

Substitute that into

`(2 - y) * y = - 15 \\ 2y - {y}^(2) = - 15 \\ {y}^(2) - 2y - 15 = 0 \\ (y - 5)(y + 3) = 0 \\ y = 5`

Substitute that into

`x = 2 - 5 \\ x = - 3`

Answer : The two numbers are 5 and - 3.

Hope this helps. - M