Answer:
[tex]x=-1 ,-2[/tex]
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Define
3x² + 9x + 6 = 0
a = 3
b = 9
c = 6
Step 2: Substitute and Evaluate
[tex]x=\frac{-9 \pm \sqrt{9^2-4(3)(6)} }{2(3)}[/tex]
[tex]x=\frac{-9 \pm \sqrt{81-72} }{6}[/tex]
[tex]x=\frac{-9 \pm \sqrt{9} }{6}[/tex]
[tex]x=\frac{-9 \pm 3 }{6}[/tex]
[tex]x=\frac{3(-3 \pm 1) }{6}[/tex]
[tex]x=\frac{-3 \pm 1}{2}[/tex]
[tex]x=\frac{-2}{2} ,\frac{-4}{2}[/tex]
[tex]x=-1 ,-2[/tex]
