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 \(\dfrac{b}{2a}\) 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 \( \sqrt{ \dfrac {a}{b}} = \dfrac {\sqrt{a}}{\sqrt{b}}\) on the right side of the equation. |
| Combine the fractioncs to obtain the Quadratic Formula. |
| Subtract the constant \( \dfrac{c}{a}\) from both sides of the equation. |
| Multiply out \( \left( \dfrac{b}{2a} \right)^2\) 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 \(\sqrt{\left( x + \dfrac {b}{2a} \right)^2}\) on the left side of the equation. |
| Multiply \(- \dfrac{c}{a}\) by an equivalent form of one to obtain common denominators. |
| Take the square root of both sides of the equation. |
