2x-5/x=11/3

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Solution for 2x-5/x=11/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(5/x) = 11/3 // - 11/3

2*x-(5/x)-(11/3) = 0

2*x-5*x^-1-11/3 = 0

2*x^1-5*x^-1-11/3*x^0 = 0

(2*x^2-11/3*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-11/3*x^1-5*x^0) = 0

x^1

2*x^2+(-11/3)*x-5 = 0

2*x^2+(-11/3)*x-5 = 0

DELTA = (-11/3)^2-(-5*2*4)

DELTA = 481/9

DELTA > 0

x = ((481/9)^(1/2)-(-11/3))/(2*2) or x = (-(-11/3)-(481/9)^(1/2))/(2*2)

x = ((481/9)^(1/2)+11/3)/4 or x = (11/3-(481/9)^(1/2))/4

x in { (11/3-(481/9)^(1/2))/4, ((481/9)^(1/2)+11/3)/4} 

x in { (11/3-(481/9)^(1/2))/4, ((481/9)^(1/2)+11/3)/4 }

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