POLQ 2 | Lesson 4 | Making Connections (Justifying the Steps)

Now that you have the correct steps algebraically. Take the justifications for each step and align them with the steps.

 Simplify \(\sqrt{4a^2}\) on the right side of the equation.
 Subtract \(\Large \frac{b}{2a}\) from both sides of the equation.
 Divide the general form of a quadratic equation by \(a\).
 Factor the trinomial on the left side of the equation.
 Combine the fractions on the right side of the equation.
 Use the property \( \large \sqrt{ \Large \frac {a}{b}} = \Large  \frac {\sqrt{a}}{\sqrt{b}}\) on the right side of the equation.
 Combine the fractioncs to obtain the Quadratic Formula.
 Subtract the constant \( \Large \frac{c}{a}\) from both sides of the equation.
 Multiply out \( \left( \Large \frac{b}{2a} \right)^2\) on the right side of the equation.
 Take half of the coefficient of the linear term, square it, and add it to both sides of the equation.
 Simplify \( \Large \sqrt{ \normalsize \left( x + \Large \frac {b}{2a} \right)^2}\) on the left side of the equation.
 Multiply  \(- \Large \frac{c}{a}\) by an equivalent form of one to obtain common denominators.
 Take the square root of both sides of the equation.


Go to Watch (Justifying the Steps)