Answer:
a.) 3.236 or -1.236
Step-by-step explanation:
Used an online calculator for this answer...
Using the Quadratic Formula where
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -(-6) \pm \sqrt{(-6)^2 - 4(3)(-12)}}{ 2(3) }\\x = \frac{ 6 \pm \sqrt{36 - -144}}{ 6 }\\x = \frac{ 6 \pm \sqrt{180}}{ 6 }[/tex]
The discriminant b^2−4ac > 0
so, there are two real roots.
Simplify the radical...
[tex]x = \frac{ 6 \pm 6\sqrt{5}\, }{ 6 }\\x = \frac{ 6 }{ 6 } \pm \frac{6\sqrt{5}\, }{ 6 }\\x = 1 \pm \sqrt{5}\,[/tex]
This simplifies to...
[tex]x = 3.23607\\x = -1.23607[/tex]
