1. Let's start by stating the problem clearly: We want to understand the steps taken to solve a math problem, focusing on the method and reasoning. 2. Typically, math problems involve identifying the type of problem (e.g., algebraic equation, geometry, calculus) and applying the relevant formulas or rules. 3. For example, if the problem was solving a quadratic equation, the formula used is the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where $a$, $b$, and $c$ are coefficients from the quadratic equation $ax^2 + bx + c = 0$. 4. Important rules include: - The discriminant $\Delta = b^2 - 4ac$ determines the nature of the roots. - If $\Delta > 0$, there are two distinct real roots. - If $\Delta = 0$, there is one real root (a repeated root). - If $\Delta < 0$, the roots are complex. 5. Intermediate steps involve calculating the discriminant, substituting values into the formula, simplifying the square root, and then simplifying the fraction to find the roots. 6. Explaining in plain language: We break down the problem into smaller parts, use the formula to find possible answers, and check the results to ensure they make sense. 7. This approach applies to many math problems: understand the problem, choose the right formula or method, perform calculations step-by-step, and interpret the results. This explanation should help you understand the problem-solving process better.