Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.