2+8x=256/x+2+4x

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Solution for 2+8x=256/x+2+4x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

8*x+2 = 4*x+256/x+2 // - 4*x+256/x+2

8*x-(4*x)-(256/x)-2+2 = 0

8*x-4*x-256*x^-1-2+2 = 0

4*x^1-256*x^-1 = 0

(4*x^2-256*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-256*x^0) = 0

x^1

4*x^2-256 = 0

4*x^2-256 = 0

DELTA = 0^2-(-256*4*4)

DELTA = 4096

DELTA > 0

x = (4096^(1/2)+0)/(2*4) or x = (0-4096^(1/2))/(2*4)

x = 8 or x = -8

x in { -8, 8} 

x in { -8, 8 }

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