Question

Rewrite the equation by completing the square. x^2-14+33=0

Answer 1

(x - 7)² = 16

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Completing the Square

Explanation:

Step 1: Define

x² - 14x + 33 = 0

Step 2: Rewrite

1. Isolate x terms: x² - 14x = -33
2. Complete the Square: x² - 14x + 49 = -33 + 49
3. Reduce: (x - 7)² = 16

And we have our rewritten form!