Question

Use completing the square to solve for X in the equation (c+7)(x-9)=25

Answer 1

x = 1 ± √89

Explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89