Question 426986
x*y = 72
x + y = -18 -> y = -18 - x
Substitute in the 1st equation:
x*(-18 - x) = 72 -> -x^2 - 18x - 72 = 0 -> x^2 + 18x + 72 = 0
Quadratic formula gives:
{{{x = (-18 +- sqrt(18^2 - 4*(72)))/2}}}
Solving for x gives:
x = -6,-12
Therefore, y = -18 - -6 = -12 or y = -18 - -12 = -6.
So the two numbers are: -6,-12