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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

2*x^1-4*x^-1-13/3*x^0 = 0

(2*x^2-13/3*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-13/3*x^1-4*x^0) = 0

x^1

2*x^2+(-13/3)*x-4 = 0

2*x^2+(-13/3)*x-4 = 0

DELTA = (-13/3)^2-(-4*2*4)

DELTA = 457/9

DELTA > 0

x = ((457/9)^(1/2)-(-13/3))/(2*2) or x = (-(-13/3)-(457/9)^(1/2))/(2*2)

x = ((457/9)^(1/2)+13/3)/4 or x = (13/3-(457/9)^(1/2))/4

x in { (13/3-(457/9)^(1/2))/4, ((457/9)^(1/2)+13/3)/4}

x in { (13/3-(457/9)^(1/2))/4, ((457/9)^(1/2)+13/3)/4 }

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