Answer:
2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
x=2x+8/x
x-2x=8/x
-x=8/x
8=-x(x)
8=-x^2
8-(-x^2)=0
8+x^2=0
x^2+8=0
x=2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
[tex]x = \frac{2x + 8}{x} [/tex]
[tex] {x}^{2} = 2x + 8[/tex]
[tex] {x}^{2} - 2x - 8 = 0[/tex]
[tex](x - 4)(x + 2) = 0[/tex]
[tex]x = 4[/tex]
or
[tex]x = - 2[/tex]
