Question

What are 2 numbers that when multiplied together you get 360 and when added together you get -96

Answer 1

x + y = -96;
x * y = 360;

$t^{2} + 96t + 720 = 0$;
Δ = $96^{2} - 4 * 720 = 6336$ => sqrt(Δ) = 79.6;
=> x = ( - b +  sqrt(Δ) ) / 2a => x = ( -96 + 79.6 ) / 2 ≈ - 8.2;
=> y =  ( - b -  sqrt(Δ) ) / 2a => x = ( -96 - 79.6 ) / 2 ≈ - 87.8;