Respuesta :
Answer:
[tex]x=-4+-2\sqrt{5}[/tex]
Step-by-step explanation:
2x^2+16x-8=0
Solve using completing the square method
first we divide whole equation by 2
x^2 + 8x - 4=0
Add 4 on both sides
x^2 + 8x = 4
In completing the square method , we take half of coefficient of middle term and then square it . then add it on both sides
coefficient of middle term is +8
divide it by 2 , 8/2= 4
now square it , 4^2 = 16
add 16 on both sides
x^2 + 8x +16 = 4+16
(x+4)(x+4)= 20
(x+4)^2 = 20
Now take square root on both sides
[tex]x+4=+-\sqrt{20}[/tex]
Now subtract 4 from both sides
[tex]x=-4+-2\sqrt{5}[/tex]
