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

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Mrisley Mrisley

04-05-2014
Mathematics

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

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crisforp crisforp · Answer 1 · 2014-05-04T07:49:45+02:00

crisforp crisforp

04-05-2014

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

[tex] t^{2} + 96t + 720 = 0[/tex];
Δ = [tex] 96^{2} - 4 * 720 = 6336 [/tex] => 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;

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