Question

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Quadratic equations​

Answer 1

$x {}^{2} - \frac{7}{6} x - \frac{1}{2} = 0 \\ = > 6x {}^{2} - 7x - 3 = 0 \\ = > 6 {x}^{2} - 9x + 2x - 3 = 0 \\ = > 3x(2x - 3) + 1(2x - 3) = 0 \\ = > (3x + 1)(2x - 3) = 0 \\ = > x = - \frac{1}{3} orx = \frac{3}{2}$

et answer

Answer 2

Answer:

multiply the equation by 6

6x² - 7x - 3 = 0

factorization

(6x - 9) (6x + 2) = 0

6x-9 = 0 6x + 2 = 0

x = 9/6 x = -2/6

x = 3/2 or x = -1/3