Question

What are the solutions of X^2-8+16=11

Answer 1

x = ±√3

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
• Solving quadratics

Explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

1. Combine like terms: x² + 8 = 11
2. [Subtraction Property of Equality] Subtract 8 on both sides: x² = 3
3. [Equality Property] Square root both sides: x = ±√3