Question

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

Answer 1

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

Answer 2

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.