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)

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.