Respuesta :

Space

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

Algebra I

Terms/Coefficients

  • Factoring/Expanding

Quadratic Equations

  • Solving quadratic equations

Step-by-step explanation:

Step 1: Define

Identify.

y = x² + 8x

Step 2: Find Roots

  1. [Quadratic] Factor:                                                                                          y = x(x + 8)
  2. [Quadratic] Set up [Solve]:                                                                             0 = x(x + 8)
  3. [Quadratic] Define:                                                                                         x = 0, -8

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

---

Topic: Algebra I