Question

Solve the equation by completing the square and then solving for x. 1. x^2-6x=122. 2x^2-24x=-20

Answer 1

Answer:  (x - 3)² = 21

Step-by-step explanation:

x² - 6x + ____ = 12 + ____

       ↓        ↑                 ↑

    $\frac{-6}{2} = (-3)^{2}$

x² - 6x + 9 = 12 + 9

       (x - 3)²  =    21

*******************************************************

Answer:  (x - 6)² = 26

Step-by-step explanation:

2x² - 24x = -20

÷2   ÷2       ÷2

 x² -  12x =  -10

x² - 12x + ____ = -10 + ____

       ↓        ↑                   ↑

    $\frac{-12}{2} = (-6)^{2}$

x² - 12x + 36 = -10 + 36

       (x - 6)²  =    26