Solve the following equation by completing the square. 4x2 -16 x + 8=0 ​

x = 2±sqrt(2)

Step-by-step explanation:

4x^2 -16 x + 8=0

Move the 8 to the right side by subtracting 8 from each side

4x^2 -16 x + 8-8=0-8

4x^2 -16 x =- 8

Get the x^2 term to have a coefficient of 1 by dividing each term by 4

x^2 -4x = -2

Take the coefficient of x and divide by 2 and then square it

-4/2 = -2    

(-2 )^2 = 4

Add this to each side

x^2 - 4x +4  = -2 +4

Factor the right side into ( x +b/2)^2  where b is the coefficient of x

(x-2)^2 = 2

Take the square root of each side

x-2 = ±sqrt(2)

Add 2 to each side

x = 2±sqrt(2)

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

may i see the picture? it would a lot, xox