x-27/x=6

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Solution for x-27/x=6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(27/x) = 6 // - 6

x-(27/x)-6 = 0

x-27*x^-1-6 = 0

1*x^1-27*x^-1-6*x^0 = 0

(1*x^2-6*x^1-27*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-6*x^1-27*x^0) = 0

x^1

x^2-6*x-27 = 0

x^2-6*x-27 = 0

DELTA = (-6)^2-(-27*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+6)/(1*2) or x = (6-144^(1/2))/(1*2)

x = 9 or x = -3

x in { -3, 9} 

x in { -3, 9 }

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