5x-25/x-5

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Solution for 5x-25/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(25/x)-5 = 0

5*x-25*x^-1-5 = 0

5*x^1-25*x^-1-5*x^0 = 0

(5*x^2-5*x^1-25*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-5*x^1-25*x^0) = 0

x^1

5*x^2-5*x-25 = 0

5*x^2-5*x-25 = 0

DELTA = (-5)^2-(-25*4*5)

DELTA = 525

DELTA > 0

x = (525^(1/2)+5)/(2*5) or x = (5-525^(1/2))/(2*5)

x = (5*21^(1/2)+5)/10 or x = (5-5*21^(1/2))/10

x in { (5-5*21^(1/2))/10, (5*21^(1/2)+5)/10} 

x in { (5-5*21^(1/2))/10, (5*21^(1/2)+5)/10 }

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