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3 x² - 5 x = 3 x - 4

- 2 est t - il solution ?

3 ( - 2 )² - 5 * - 2 = 3 * - 2 - 4

12 + 10 = - 6 - 4

22 ≠ - 10

2 /3 est t il solution ?

3 ( 2/3)² - 5 * 2/3 = 3 * 2/3 - 4

3* 4/9 - 10 /3 = 6/3 - 4

12/9 - 10 /3 = 6/3 - 4

12/9 - 30/9 = 18/9 - 36 /9

- 18/9 = - 18/9

( x + 11 )² = x² + 22 x + 121

aire AEFG = x²

aire ABCD = ( x + 11 )² = x² + 22 x + 121

aire colorée = x² + 22 x +21 - x² = 22 x + 21

22 x + 21 = 341

22 x = 341 - 21

22 x = 320

x = 320/22 = 160/11

Réponse:

[tex]on \: a \: 3x {}^{2} - 5x = 3x - 4 \\ cad \: 3x {}^{2} - 5x - 3x + 4 = 0 \\ cad \: 3x {}^{2} - 3x - 2x - 3x + 4 = 0 \\ cad \: 3x(x - 1 - 1) - 2(x - 2) = 0 \\ cad \: 3x(x - 2) - 2(x - 2) = 0 \\ cad \: (x - 2)(3x - 2) = 0 \\ cad \: x - 2 = 0 \: ou \: 3x - 2 = 0 \\ alors \: x = 2 \: ou \: x = \frac{2}{3} [/tex]

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