Question

Solve by co pelting the square 4x^2-16x+5=-2

Answer 1

x = 1/2, 7/2

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

• Completing the Square: (b/2)²
• Factoring

Explanation:

Step 1: Define

4x² - 16x + 5 = -2

Step 2: Solve for x

1. Isolate x terms: 4x² - 16x = -7
2. Factor GCF: 4(x² - 4x) = -7
3. Isolate x terms: x² - 4x = -7/4
4. Complete the Square: x² - 4x + 4 = -7/4 + 4
5. Simplify: (x - 2)² = 9/4
6. Square root both sides: x - 2 = ±3/2
7. Isolate x: x = 2 ± 3/2
8. Evaluate: x = 1/2, 7/2