Question

State the the roots of y=x^2+8x

Answer 1

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

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