Completing the square? ?

Question

Solve by completing the square: x^2-4x+2=0

BTW the ^ means the number after the x is the exponent

Answer 1

x² - 4x = -2

(x-2)² - 2² = -2

(x-2)² = 2

x-2 = +/-√2

x = √2 + 2

OR

x = 2 - √2

Answer 2

x² - 4x + 2 = 0

(x-2)² + 2 - (2)² = 0

(x-2)² - 2 = 0

by using a² - b² = (a-b)(a+b)

(x-2)² - (√2)² = 0

(x-2-√2) (x-2+√2) = 0

x = 2 + √2  or  x = 2 - √2

Answer 3

x² - 4x + 2 = 0

x² - 4x + 4 = 2

(x - 2)² = 2

x - 2 = ±√2

x = 2 ± √2

Answer 4

x2-4x+2=0

=> x2-4x+4-2-4=0                   I added 4 and subtracted 4, so everything is balanced.

I added four because I look the term with the x raised to the first power, cut it in half, then I squared it. 4/2=2, 2^2=4

So   x2-4x+4-2+4=(x2-4x+4)-2

                         =(x-2)^2-2=0

= (x-2)^2=2

   (x-2)= plus or minus sqrt 2

x=2 plus or minus sqrt 2

Answer 5

(x² - 4x + 4) + 2 - 4 = 0

(x - 2)² = 2

x - 2 = ± √2

x = 2 ± √2

Answer 6

x² - 4x + 2 = 0

x² - 4x = -2

x² - 4x + 4 = -2 + 4

(x-2)² = 2

x - 2 = ± √2

x = 2 ± √2

Answer 7

x^2-4x+2=0

x^2-4x + ?= -2+?

? is half the coefficient of the x term, squared

?=(-2)^2, =4

x^2-4x+4=-2+4

(x-2)^2=2

x-2=+/-rt(2)

x=2+rt(2) or x=2-rt(2)

If you need a number, rt(2)=1.4142

x=2+1.4142 or 2-1.4142

x=3.4142 or 0.5858