Product is - 42 and sum is 1

What are the two numbers

The numbers are 7, (-6)

Step-by-step explanation:

Let one number be x

So, other number = 1 - x

x * (1 - x) = - 42

x - x² = - 42

0 = - 42 - x + x²

x² - x - 42 = 0

x² + 6x - 7x - 7*6 = 0

x (x + 6) - 7 (x + 6) = 0

(x + 6) (x - 7) = 0

x + 6 = 0; x - 7 = 0

x = - 6; x = 7

The numbers are 7, (-6)

The answer is 7 and - 6