2x/3-4/x=5/3

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Solution for 2x/3-4/x=5/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*x)/3-(4/x) = 5/3 // - 5/3

(2*x)/3-(4/x)-(5/3) = 0

(2*x)/3-4*x^-1-5/3 = 0

2/3*x^1-4*x^-1-5/3*x^0 = 0

(2/3*x^2-5/3*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(2/3*x^2-5/3*x^1-4*x^0) = 0

x^1

(2/3)*x^2+(-5/3)*x-4 = 0

(2/3)*x^2+(-5/3)*x-4 = 0

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

DELTA = 121/9

DELTA > 0

x = ((121/9)^(1/2)-(-5/3))/(2*(2/3)) or x = (-(-5/3)-(121/9)^(1/2))/(2*(2/3))

x = 4 or x = -3/2

x in { -3/2, 4} 

x in { -3/2, 4 }

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