Question

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

Answer 1

Answer:

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

Step-by-step 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