Question

Two numbers when multiplied with each other gives -8000 and added with each other gives -20. What are the two numbers?
Plz answer quickly as I studying for my exam now and need to do this practice Question..​

Answer 1

Answer:

-1 and -19

Step-by-step explanation:

Let the numbers be x and y. Then xy = -8000 and x+y = -20

Now (x-y)^2 = (x+y)^2 - 4xy = 400 + 4. 8000 = 32400

This implies x - y = +- 18.

Taking + 18, we get x = -1, y = -19

Taking -18, we get x = -19 and y = -1.