Question

Solve the equation by completing the square and then solving for x. 1. x^2-6x=12

2. 2x^2-24x=-20

Answer 1

Answer: (x - 3)² = 21

Explanation:

x² - 6x + ____ = 12 + ____

↓ ↑ ↑

`(-6)/(2) = (-3)^(2)`

x² - 6x + 9 = 12 + 9

(x - 3)² = 21

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Answer: (x - 6)² = 26

Explanation:

2x² - 24x = -20

÷2 ÷2 ÷2

x² - 12x = -10

x² - 12x + ____ = -10 + ____

↓ ↑ ↑

`(-12)/(2) = (-6)^(2)`

x² - 12x + 36 = -10 + 36

(x - 6)² = 26