What two numbers add up to 19 but mult to -180

can you also tell what method you used please.

so I just listed all the factors of 150. 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 & 150
and one of the factors is 25*6=150
so if we make the 6 a negative
25-6=19 and 25*-6=-150

:)

a+b = 19, a*b = -180

a = 19-b

Then a*b = (19-b)*b = -180

b^2 - 19b - 180 = 0

[19 (+/-) sqrt[19^2 + 4*180] ]/2

19/2 (+/-) sqrt[1081]/2

9.5 (+/-) sqrt[270.25] (exact) {one of these is a and the other is b}

-6.9392822227736
25.9392822227736

The product is -180.0000000000001