Question

Which of the following circumstances would likely make the quadratic formula, completing the square, or factoring the best method for solving a quadratic equation?

Answer 1

`\begin{gathered} \text{ Remember that when you have a square difference that is } \\ \text{ an algebraic expression which looks like this. } \\ a^2-b^2 \\ \text{That expression could be factored as follows. } \\ a^2\text{ }-b^2=(a-b)(a+b) \\ \text{And if you equal that to zero, it would look like this. } \\ (a-b)(a+b)=0 \\ \text{Therefore } \\ a=-b\text{ } \\ or\text{ } \\ a=b \\ \text{ That is much easier than applying the quadratic formula. } \end{gathered}`