2x-1/x+2=4/5

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Solution for 2x-1/x+2=4/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(1/x)+2 = 4/5 // - 4/5

2*x-(1/x)-(4/5)+2 = 0

2*x-x^-1-4/5+2 = 0

2*x^1-1*x^-1+6/5*x^0 = 0

(2*x^2+6/5*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+6/5*x^1-1*x^0) = 0

x^1

2*x^2+(6/5)*x-1 = 0

2*x^2+(6/5)*x-1 = 0

DELTA = (6/5)^2-(-1*2*4)

DELTA = 236/25

DELTA > 0

x = ((236/25)^(1/2)-(6/5))/(2*2) or x = (-(6/5)-(236/25)^(1/2))/(2*2)

x = ((236/25)^(1/2)-6/5)/4 or x = (-((236/25)^(1/2)+6/5))/4

x in { (-((236/25)^(1/2)+6/5))/4, ((236/25)^(1/2)-6/5)/4} 

x in { (-((236/25)^(1/2)+6/5))/4, ((236/25)^(1/2)-6/5)/4 }

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