Answer:
-10 and -5
Step-by-step explanation:
setting variables x and y to represent my two numbers
x+y = -15
xy = 50
y = -15-x (derived from first equation by isolating y)
plugging in y into the second equation
x(-15-x) = 50
[tex]-15x-x^2=50[/tex]
[tex]x^2+15x+50=0[/tex]
factoring ...
(x+10)(x+5) = 0
x = -10, or -5
testing x = -10
-10+y=-15
y = -5
-10 * -5 = 50
your two numbers are -10 and -5
IF you wanted to test -5
-5 + y = -15
y = -10
-5 * -10 = 50
you get the same answer, but this will not always be the case
