Answer:
x=-4+-2 to the square root 5
Step-by-step explanation:1) Move the "non X" term to the right:
2x^2+16x-8=0 becomes
2x^2 +16x = +8
2) Divide the equation by the coefficient of X² which in this case is 2
x^2 + 8x = 4
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X (which is 8)
• divide it by 2 [8 / 2 = 4]
• square that number [4^2 = 16]
• then add it to both sides of the equation.
x^2 + 8x + 16 = 20
Take the square root of both sides of the equation:
x + 4 = sq root (20)
x = sq root (20) -4
x1 = 4.472135955 -4
x1 = .472135955
x2 = -4.472135955 -4
x2 = -8.472135955
