Answer:
Step 2
General Formulas and Concepts:
Pre-Algebra
Algebra I
- Solving Quadratic Equations
Explanation:
Step 1: Define
Identify
5(x + 7)² = 245
Step 2: Solve for x
- [Division Property of Equality] Divide 5 on both sides: (x + 7)² = 49
- [Equality Property] Square root both sides: x + 7 = ±7
- [Subtraction Property of Equality] Subtract 7 on both sides: x = ±7 - 7
- Simplify: x = 0, -14
Here, we can see that Josephine made an error at step 2, when she square rooted both sides. Remember when you square root both sides of a quadratic, you will have a ± sign and have multiple roots/solutions.