Question

x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.

Answer 1

x = 3, 5

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
• Subtract Property of Equality

Algebra I

• Terms/Coefficients/Degrees
• Standard Form: ax² + bx + c = 0
• Multiple Roots
• Factoring
• Completing the Square: -b/(2a)

Explanation:

Step 1: Define

x² - 8x + 15 = 0

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract 15 on both sides: x² - 8x = -15
2. Complete the Square [Addition Property of Equality]: x² - 8x + 16 = -15 + 16
3. [Complete the Square] Simplify: (x - 4)² = 1
4. [Equality Property] Square root both sides: x - 4 = ±1
5. [Addition Property of Equality] Add 4 on both sides: x = 4 ± 1
6. Evaluate: x = 3, 5