6x-11=10/x

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Solution for 6x-11=10/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-11 = 10/x // - 10/x

6*x-(10/x)-11 = 0

6*x-10*x^-1-11 = 0

6*x^1-10*x^-1-11*x^0 = 0

(6*x^2-11*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-11*x^1-10*x^0) = 0

x^1

6*x^2-11*x-10 = 0

6*x^2-11*x-10 = 0

DELTA = (-11)^2-(-10*4*6)

DELTA = 361

DELTA > 0

x = (361^(1/2)+11)/(2*6) or x = (11-361^(1/2))/(2*6)

x = 5/2 or x = -2/3

x in { -2/3, 5/2} 

x in { -2/3, 5/2 }

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