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

x = ±√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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/CoefficientsSolving quadratics

Step-by-step explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

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