Answer: [tex]\bold{-\dfrac{1}{6}\pm -\dfrac{\sqrt{35}}{6}i}[/tex]
Step-by-step explanation:
-3x² - x - 3 = 0
a=-3 b=-1 c=-3
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(-3)(-3)}}{2(-3)}\\\\\\.\quad =\dfrac{1\pm \sqrt{1-36}}{-6}\\\\\\.\quad =\dfrac{1\pm \sqrt{-35}}{-6}\\\\\\.\quad = \dfrac{1\pm i\sqrt{35}}{-6}\\\\\\.\quad =\large\boxed{ -\dfrac{1}{6}\pm \dfrac{-\sqrt{35}}{6}i}[/tex]
