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;