What multiplies to get - 1040 and adds to get 109?

So xy=-1040 and x+y=109

a negative times a positive = a negative so x or y must be negative and only one

so xy=-1040

x+y=109

subtract x from both sides

y=109-x

subsitute y=109-x into xy=-1040

x (109-x) = - 1040

109x-x^2=-1040

add x^2 to both sides

109x=-1040+x^2

subtract 109x from both sides

x^2-109x-1040=0

put it in the quatdratic formula and get

x=[{ (7721) ^ (1/2) }+109]/2 or [{ (7721) ^ (1/2) }-109]/2