Solve the equation using the method of completing the square 2x squared + 16 x - 8 0

-4 + 2*sqrt (5)

Step-by-step explanation:

2x^2+16x-8=0

Factor out the 2: 2 (x^2+8x) - 8=0

Add (b/2) ^2 = (8/2) ^2 = 16

2 (x^2+8x+16) - 8 = 0 + 2*16

2 (x+4) ^2=40

(x+4) ^2=20

x+4=+sqrt (20)

x=-4+sqrt (20) = - 4 + 2*sqrt (5)