2x-6/x=11

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Solution for 2x-6/x=11 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(6/x) = 11 // - 11

2*x-(6/x)-11 = 0

2*x-6*x^-1-11 = 0

2*x^1-6*x^-1-11*x^0 = 0

(2*x^2-11*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-11*x^1-6*x^0) = 0

x^1

2*x^2-11*x-6 = 0

2*x^2-11*x-6 = 0

DELTA = (-11)^2-(-6*2*4)

DELTA = 169

DELTA > 0

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

x = 6 or x = -1/2

x in { -1/2, 6} 

x in { -1/2, 6 }

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