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Nastasia [14]
3 years ago
15

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

Mathematics
2 answers:
Colt1911 [192]3 years ago
8 0

Answer:

Equation: (x - 10)² = 81

Soulotion: x = 10 <u>+</u> 9

Step-by-step explanation:

I tried it on khan academy

sergeinik [125]3 years ago
7 0

Answer:

x = -1, 19

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u>  </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

2x² - 20x = x² - 19

<u>Step 2: Solve for </u><em><u>x</u></em>

  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
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