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## Answers

## ufnwish73

Let x and y be the two numbers.

We have x+y=-11 (because their sum is -11)

⇒ x= -11-y.

On the other hand, we also have x*y= -24 (because their product is -24)

⇒ (-11-y)*y= -24

⇒ -y^2 -11y= -24

⇒ y^2+ 11y -24= 0

⇒ ...

⇒ y= (-11-sqrt(217))/2 or y= (-11+sqrt(217))/2

x= (-11+sqrt(217))/2 or x= (-11-sqrt(217))/2 .

Conclusion: the two numbers are (-11+sqrt(217))/2 and (-11-sqrt(217))/2~