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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

5/2*x^1-1*x^-1-3*x^0 = 0

(5/2*x^2-3*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(5/2*x^2-3*x^1-1*x^0) = 0

x^1

(5/2)*x^2-3*x-1 = 0

(5/2)*x^2-3*x-1 = 0

DELTA = (-3)^2-(-1*4*(5/2))

DELTA = 19

DELTA > 0

x = (19^(1/2)+3)/(2*(5/2)) or x = (3-19^(1/2))/(2*(5/2))

x = (19^(1/2)+3)/5 or x = (3-19^(1/2))/5

x in { (3-19^(1/2))/5, (19^(1/2)+3)/5} 

x in { (3-19^(1/2))/5, (19^(1/2)+3)/5 }

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