1. **State the problem:** Solve the quadratic equation using the quadratic formula and express the solution set in exact simplest form.
2. **Recall the quadratic formula:** For a quadratic equation $ax^2 + bx + c = 0$, the solutions are given by
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
3. **Identify coefficients:** Identify $a$, $b$, and $c$ from the given quadratic equation.
4. **Calculate the discriminant:** Compute $\Delta = b^2 - 4ac$.
5. **Evaluate the square root:** Simplify $\sqrt{\Delta}$ as much as possible.
6. **Apply the quadratic formula:** Substitute $a$, $b$, and $\sqrt{\Delta}$ into the formula.
7. **Simplify the expression:** If possible, factor and cancel common factors using the cancellation notation:
$$x = \frac{\cancel{-b} \pm \sqrt{\cancel{b^2} - 4\cancel{a}c}}{2\cancel{a}}$$
8. **Write the solution set:** Express the solutions in exact simplest form.
Since the specific quadratic equation was not provided, this is the general method to solve any quadratic equation using the quadratic formula.
Quadratic Formula Ec7D82
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