3x/2-5/x=1/2

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Solution for 3x/2-5/x=1/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 121/4

DELTA > 0

x = ((121/4)^(1/2)-(-1/2))/(2*(3/2)) or x = (-(-1/2)-(121/4)^(1/2))/(2*(3/2))

x = 2 or x = -5/3

x in { -5/3, 2} 

x in { -5/3, 2 }

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