Question

What are the solutions of this quadratic equation?

4x2 + 3 = 4x + 2

Answer 1

A. x = 1/2

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Terms/Coefficients
• Factoring
• Standard Form: ax² + bx + c = 0
• Solving quadratics

Explanation:

Step 1: Define

Identify

4x² + 3 = 4x + 2

Step 2: Solve for x

1. [Equality Property] Rewrite in standard form: 4x² - 4x + 1 = 0
2. Factor: (2x - 1)² = 0
3. Solve: x = 1/2