Question

Solve x2 - 6x = 27 by completing the square. Show your work for full credit.

Answer 1

x2 - 6x = 27
(x - 3)^2 - 9 = 27
(x-3)^2 = 36
now take square root of both sides
x - 3 = +/- 6

can you continue?

Answer 2

Take half of the coefficient of the x, square it and add it to both sides.
x^2-6x+9=27+9
(x+3)^2=36
take the square root
x+3=sqrt(26)
Separate into two problems
x+3=+6 x+3=-6
x=6-3 x=-6-3
x=3 x=-9

Answer 3

cwrw238 is correct it's (x-3)^2 not (x+3) my bad!

Answer 4

x - 3 = 6
x = 9
or
x - 3 = --6
x = -3

solution set is {9,-3}

Answer 5

Is that all? Please say yes