10x-11=6/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 361

DELTA > 0

x = (361^(1/2)+11)/(2*10) or x = (11-361^(1/2))/(2*10)

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

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

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

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