Question

Instructions: Solve each equation using the Quadratic Formula. Enter your answers from least to greatest.

Answer 1

x = 1 or 3

Step-by-step explanation

Given equation:

`3x^2-12x+9=0`

What to find:

To solve the given quadratic equation using the Quadratic Formula.

Solution:

The Quadratic Formula is given by

`x=(-b\pm√(b^2-4ac))/(2a)`

a = 3, b = -12, c = 9

`\begin{gathered} x=(-(-12)\pm√((-12)^2-4(3)(9)))/(2(3)) \\ \\ x=(12\pm√(144-108))/(6) \\ \\ x=(12\pm√(36))/(6) \\ \\ x=(12\pm6)/(6) \\ \\ x=(12-6)/(6)\text{ }or\text{ }(12+6)/(6) \\ \\ x=(6)/(6)\text{ }or\text{ }(18)/(6) \\ \\ x=1\text{ }or\text{ }3 \end{gathered}`