3x-(2/x)=5

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Solution for 3x-(2/x)=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*3) or x = (5-49^(1/2))/(2*3)

x = 2 or x = -1/3

x in { -1/3, 2} 

x in { -1/3, 2 }

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