Take the two conditions that you've given us:
. . . x + y = -3
. . . xy = -36
Massage the first equation to say [ y = -x - 3 ], then substitute that one into
the second equation, and the second equation becomes
x² + 3x - 36 = 0 .
That one can't be easily factored, but you can mash it through
the quadratic formula, and discover that . . .
x = -1.5 (plus and minus) 1/2 √153
so the two numbers are
- 7.68466 (rounded)
and
+ 4.68466 (rounded).
Check:
4.68466 7.68466 = -3
(4.68466) x (-7.68466) = -36.00002 (rounded) yay !
