x/x+5=2x-8/x+8

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Solution for x/x+5=2x-8/x+8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/x+5 = 2*x-(8/x)+8 // - 2*x-(8/x)+8

8/x-(2*x)+x/x-8+5 = 0

8/x-2*x+x/x-8+5 = 0

8*x^-1-2*x^1-2*x^0 = 0

(8*x^0-2*x^2-2*x^1)/(x^1) = 0 // * x^2

x^1*(8*x^0-2*x^2-2*x^1) = 0

x^1

8-2*x^2-2*x = 0

8-2*x^2-2*x = 0

DELTA = (-2)^2-(-2*4*8)

DELTA = 68

DELTA > 0

x = (68^(1/2)+2)/(-2*2) or x = (2-68^(1/2))/(-2*2)

x = (2*17^(1/2)+2)/(-4) or x = (2-2*17^(1/2))/(-4)

x in { (2*17^(1/2)+2)/(-4), (2-2*17^(1/2))/(-4)} 

x in { (2*17^(1/2)+2)/(-4), (2-2*17^(1/2))/(-4) }

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