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Example walkthrough

Quadratic equations, step by step

Problem: Solve x² − 5x + 6 = 0

Step 1: Find two numbers whose product is 6 and sum is −5.

Step 2: These numbers are −2 and −3.

Step 3: Factor: (x − 2)(x − 3) = 0.

Result: x = 2 or x = 3.

1. Identify the concept

2. Explain why a method applies

3. Show clear intermediate steps

4. Check the result

5. Give a similar practice problem