Question 1187927
<pre>
x+y = 12    (1)
xy = -85    (2)


(1) -->  y = 12-x

Substitue this value of y into (2):  
x(12-x) = -85
{{{ 12x - x^2 = -85 }}} 
{{{ -x^2 + 12x + 85 = 0 }}}
{{{ x^2 -12x -85 = 0 }}}

{{{ (x-17)(x+5) = 0 }}}

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

Chack:
-5*17 = -85
and 
17+(-5) = 12