Respuesta :

Space

Answer:

7n + 9 = n² + 1

n = -1, 8

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

Algebra I

  • Factoring
  • Solving quadratics

Step-by-step explanation:

Step 1: Set up Equation

"Nine more" is + 9

"Seven times a number" is 7n

"One more" is + 1

"Square of the [same] number" is n²

7n + 9 = n² + 1

Step 2: Solve for n

  1. Subtract 7n on both sides:                    9 = n² - 7n + 1
  2. Subtract 9 on both sides:                      0 = n² - 7n - 8
  3. Factor quadratic:                                    0 = (n - 8)(n + 1)
  4. Solve roots:                                            n = -1, 8