3x-4/x=11

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Solution for 3x-4/x=11 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(4/x) = 11 // - 11

3*x-(4/x)-11 = 0

3*x-4*x^-1-11 = 0

3*x^1-4*x^-1-11*x^0 = 0

(3*x^2-11*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-11*x^1-4*x^0) = 0

x^1

3*x^2-11*x-4 = 0

3*x^2-11*x-4 = 0

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

DELTA = 169

DELTA > 0

x = (169^(1/2)+11)/(2*3) or x = (11-169^(1/2))/(2*3)

x = 4 or x = -1/3

x in { -1/3, 4} 

x in { -1/3, 4 }

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