x+1/2x=4x+2/x-1

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Solution for x+1/2x=4x+2/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+(1/2)*x = 4*x+2/x-1 // - 4*x+2/x-1

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

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

1*x^0-5/2*x^1-2*x^-1 = 0

(1*x^1-5/2*x^2-2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-5/2*x^2-2*x^0) = 0

x^1

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

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

DELTA = 1^2-(-2*4*(-5/2))

DELTA = -19

DELTA < 0

x in { } 

x belongs to the empty set

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