x+y = 12    (1)

xy = -85    (2)





(1) -->  y = 12-x



Substitue this value of y into (2):  

x(12-x) = -85

 











x = 17 and  x = -5  satisfy this, and those are the two numbers.



Chack:

-5*17 = -85

and 

17+(-5) = 12

 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 use a quadratic equation to find two real numbers that satisfy each equation. their sum is 12, and their product is -85

---------------------------------

There are not many pairs of integers with a product of 85.

----> -5 and 17

=======================

Using a quadratic:

x*(12 - x) = -85

x^2 - 12x - 85 = 0

---

Now to factor it, you have to find 5 and -17.

=====================================

If the solution was not 2 integers, the quadratic would be necessary. 

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