Question

Rewrite the equation by completing the square 2x^2-20x=x^2-19

Answer 1

Answer:

Equation: (x - 10)² = 81

Soulotion: x = 10 + 9

Step-by-step explanation:

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Answer 2

Answer:

x = -1, 19

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

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

Step-by-step explanation:

Step 1: Define

2x² - 20x = x² - 19

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract x² on both sides:                     x² - 20x = -19
2. Complete the Square [Addition Property of Equality]:                                 x² - 20x + 100 = -19 + 100
3. [Complete the Square] Simplify:                                                                    (x - 10)² = 81
4. [Equality Property] Square root both sides:                                                  x - 10 = ±9
5. [Addition Property of Equality] Add 10 on both sides:                                 x = 10 ± 9
6. Evaluate:                                                                                                          x = -1, 19