Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 - 6x = 20

x^2 - 6x = 20

b=-6

to complete the square, add (b/2) ^2 to each side

(b/2) ^2 = (-6/2) ^2 = (-3) ^2 = 9

x^2 - 6x + 9 = 20+9

(x+b/2) ^2 = 29

(x-3) ^2=29

take the square root of each side

x-3 = + - sqrt (29)

add 3 to each side

x = 3 + - sqrt (29)

x = 3 + sqrt (29), x - sqrt (29)

Answer: - 2.39, 8.39