Question

consider the quadratic equation $432 = 3x^2$
your answers from the previous slide are listed to the left.
you chose to use the method: algebraically (equivalent equations)
did the method work well or did you have to change your method?

Explanation:

Step1: Isolate $x^2$ term

Divide both sides by 3:
$\frac{432}{3} = \frac{3x^2}{3}$
$144 = x^2$

Step2: Solve for $x$

Take square root of both sides:
$x = \pm\sqrt{144}$
$x = \pm12$

Step3: Evaluate method effectiveness

The algebraic method directly isolates the variable using basic equivalence operations, requiring no method change.

Answer:

The algebraic (equivalent equations) method worked well; no method change was needed. The solutions to the equation are $x=12$ and $x=-12$.