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

Step-by-step explanation:

x² - 6x + ____ = 12 + ____

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    $\frac{-6}{2} = (-3)^{2}$

x² - 6x + 9 = 12 + 9

       (x - 3)²  =    21

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Answer:  (x - 6)² = 26

Step-by-step explanation:

2x² - 24x = -20

÷2   ÷2       ÷2

 x² -  12x =  -10

x² - 12x + ____ = -10 + ____

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    $\frac{-12}{2} = (-6)^{2}$

x² - 12x + 36 = -10 + 36

       (x - 6)²  =    26