Answer
x = 1 or 3
Explanation
Given equation:
[tex]3x^2-12x+9=0[/tex]
What to find:
To solve the given quadratic equation using the Quadratic Formula.
Solution:
The Quadratic Formula is given by
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
a = 3, b = -12, c = 9
[tex]\begin{gathered} x=\frac{-(-12)\pm\sqrt{(-12)^2-4(3)(9)}}{2(3)} \\ \\ x=\frac{12\pm\sqrt{144-108}}{6} \\ \\ x=\frac{12\pm\sqrt{36}}{6} \\ \\ x=\frac{12\pm6}{6} \\ \\ x=\frac{12-6}{6}\text{ }or\text{ }\frac{12+6}{6} \\ \\ x=\frac{6}{6}\text{ }or\text{ }\frac{18}{6} \\ \\ x=1\text{ }or\text{ }3 \end{gathered}[/tex]
