What are two numbers that, when multiplied together, give 360 and when added together, give -96?

x + y = -96; x * y = 360;
t 2 + 96 t + 720 = 0 ;
Δ = 9 6 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;

Answered by crisforp | 2024-06-10

The two numbers that multiply to 360 and add to -96 are approximately -3.95 and -92.05. We find these by solving a quadratic equation derived from the given conditions. The quadratic formula gives us two real solutions that satisfy both equations.
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Answered by crisforp | 2025-01-30