Respuesta :
For this case we have the following quadratic equation:
[tex]0 = -3x ^ 2-2x + 6[/tex]
Where:
[tex]a = -3\\b = -2\\c = 6[/tex]
The quadratic formula, to find the roots, is given by:[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]
Substituting the values:
[tex]x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (-3) (6)}} {2 (-3)}\\x = \frac {2 \pm \sqrt {(- 2) ^ 2 + 4 (3) (6)}} {2 (-3)}[/tex]
Answer:
[tex]x = \frac {2 \pm \sqrt {(- 2) ^ 2 + 4 (3) (6)}} {2 (-3)}[/tex]