Question

Which two numbers multiply to 60 and add to -2?

Answer 1

$xy=60\\ x+y=-2\\\\ xy=60\\ x=-y-2\\\\ (-y-2)y=60\\ -y^2-2y-60=0\\ y^2+2y+60=0\\ y^2+2y+1+59=0\\ (y+1)^2=-59$

There are no such numbers in real numbers.
Do you perhaps want a solution in complex numbers?