6x-(54/x)

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Solution for 6x-(54/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(54/x) = 0

6*x-54*x^-1 = 0

6*x^1-54*x^-1 = 0

(6*x^2-54*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-54*x^0) = 0

x^1

6*x^2-54 = 0

6*x^2-54 = 0

DELTA = 0^2-(-54*4*6)

DELTA = 1296

DELTA > 0

x = (1296^(1/2)+0)/(2*6) or x = (0-1296^(1/2))/(2*6)

x = 3 or x = -3

x in { -3, 3} 

x in { -3, 3 }

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