5x-27/x-6

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Solution for 5x-27/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(27/x)-6 = 0

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

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

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

x^1*(5*x^2-6*x^1-27*x^0) = 0

x^1

5*x^2-6*x-27 = 0

5*x^2-6*x-27 = 0

DELTA = (-6)^2-(-27*4*5)

DELTA = 576

DELTA > 0

x = (576^(1/2)+6)/(2*5) or x = (6-576^(1/2))/(2*5)

x = 3 or x = -9/5

x in { -9/5, 3} 

x in { -9/5, 3 }

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