Bonjour,
6x² + 4x - 16 = 0
a = 6 , b = 4 et c = -16
[tex]\Delta = {b}^{2} - 4ac[/tex]
[tex]\Delta = {4}^{2} - 4 \times 6 \times ( - 16) = 400[/tex]
[tex]x_{1} = \frac{ - b - \sqrt{\Delta} }{2a} = \frac{ - 4 - 20}{2 \times 6} = \frac{ - 24}{12} = - 2[/tex]
[tex]x_{2} = \frac{ - b + \sqrt{\Delta} }{2a} = \frac{ - 4 + 20}{2 \times 6} = \frac{16}{12} = \frac{4}{3} [/tex]