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Sagot :

VINS

bonjour

C ( x) = x² - 10 x + 500

R (x) = 50 x

B (x) = 50 x - ( x² - 10 x + 500 ) = 50 x - x² + 10 x - 500 = - x² + 60 x - 500

C ( 50) = 50² - 50 x 10 + 500 = 2 500 - 500 + 500 = 2 500

R ( 50 ) = 50 x 50 = 2 500

B (50) = - ( 50 )² + 60 * 50 - 500 = 2 500 + 3000 - 500 = 5 000

- x² + 60 x - 500 = 364

- x² + 60 x - 500 - 364 = 0

- x² + 60 x - 864 = 0

Δ = 60 ² - 4 ( - 1 * - 864) = 3 600 - 3 456 = 144 = 12 ²

x 1 = ( - 60 + 12 ) / - 2 = - 48 / - 2 = 24

il doit en fabriquer 24

- 24 ² + 60 * 24 - 500 = - 576 + 1 440 - 500 = 364

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