Question

Solve (x – 5)^2 = 17

Answer 1

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Multiple Roots

Explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

1. [Equality Property] Square root both sides: x - 5 = ±√17
2. [Addition Property of Equality] Add 5 on both sides: x = 5 ± √17