2x+3/2x-4=x-1/x+1

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Solution for 2x+3/2x-4=x-1/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+(3/2)*x-4 = x-(1/x)+1 // - x-(1/x)+1

2*x+(3/2)*x-x+1/x-4-1 = 0

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

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

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

x^1

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

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

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

DELTA = 15

DELTA > 0

x = (15^(1/2)+5)/(2*(5/2)) or x = (5-15^(1/2))/(2*(5/2))

x = (15^(1/2)+5)/5 or x = (5-15^(1/2))/5

x in { (5-15^(1/2))/5, (15^(1/2)+5)/5} 

x in { (5-15^(1/2))/5, (15^(1/2)+5)/5 }

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