Answer:
±94
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Solving Quadratic Equations
- Consecutive Integers
Step-by-step explanation:
<u>Step 1: Define</u>
<em>x</em> (1st consecutive term)
<em>x + 2</em> (2nd consecutive term)
<u>Step 2: Set up equation</u>
x(x + 2) = 2208
<u>Step 3: Solve for </u><em><u>x</u></em>
- Distribute <em>x</em>: x² + 2x = 2208
- Rewrite in Standard Form: x² + 2x - 2208 = 0
- Factor quadratic: (x - 46)(x + 48) = 0
- Find roots: x = -48, 46
<u>Step 4: Identify Consecutive Integers</u>
<em>Possibility 1: x = -48</em>
1st Consecutive Even Term: -48
2nd Consecutive Even Term: -48 + 2 = -46
<em />
<em>Possibility 2: x = 46</em>
1st Consecutive Even Term: 46
2nd Consecutive Even Term: 46 + 2 = 48
<u>Step 5: Find sums</u>
<em>Possibility 1: x = -48</em>
-48 + -46 = -94
<em>Possibility 2: x = 46</em>
46 + 48 = 94
