6x-15/x-2

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Solution for 6x-15/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(15/x)-2 = 0

6*x-15*x^-1-2 = 0

6*x^1-15*x^-1-2*x^0 = 0

(6*x^2-2*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-2*x^1-15*x^0) = 0

x^1

6*x^2-2*x-15 = 0

6*x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*4*6)

DELTA = 364

DELTA > 0

x = (364^(1/2)+2)/(2*6) or x = (2-364^(1/2))/(2*6)

x = (2*91^(1/2)+2)/12 or x = (2-2*91^(1/2))/12

x in { (2-2*91^(1/2))/12, (2*91^(1/2)+2)/12} 

x in { (2-2*91^(1/2))/12, (2*91^(1/2)+2)/12 }

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