What 2 numbers can you add up to get 24 and multiply to get - 25?

-1 and 25 because - 1+25=24 and - 1x25=-25

If you would like to find 2 numbers which you can add up to get 24 and multiply to get - 25, you can calculate this using the following steps:

a + b = 24 ... b = 24 - a

a * b = - 25 ... a * (24 - a) = - 25 ... 24 * a - a^2 = - 25 ... 0 = a^2 - 24 * a - 25

0 = (a - 25) * (a + 1)

1. a = 25

2. a = - 1

b = 24 - a

1. b = 24 - 25 = - 1

2. b = 24 - (-1) = 25

The numbers you are looking for are - 1 and 25.