x=5(3/x-5)

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Solution for x=5(3/x-5) equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 5*(3/x-5) // - 5*(3/x-5)

x-(5*(3/x-5)) = 0

x-5*(3/x-5) = 0

x-5*(3*x^-1-5) = 0

x-5*(3*x^-1-5) = 0

x-15*x^-1+25 = 0

x-15*x^-1+25 = 0

1*x^1-15*x^-1+25*x^0 = 0

(1*x^2+25*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+25*x^1-15*x^0) = 0

x^1

x^2+25*x-15 = 0

x^2+25*x-15 = 0

DELTA = 25^2-(-15*1*4)

DELTA = 685

DELTA > 0

x = (685^(1/2)-25)/(1*2) or x = (-685^(1/2)-25)/(1*2)

x = (685^(1/2)-25)/2 or x = (-(685^(1/2)+25))/2

x in { (-(685^(1/2)+25))/2, (685^(1/2)-25)/2} 

(x+(685^(1/2)+25)/2)*(x-((685^(1/2)-25)/2)) = 0

(x+(685^(1/2)+25)/2)*(x-((685^(1/2)-25)/2)) = 0

( x+(685^(1/2)+25)/2 )

x+(685^(1/2)+25)/2 = 0 // - (685^(1/2)+25)/2

x = -((685^(1/2)+25)/2)

( x-((685^(1/2)-25)/2) )

x-((685^(1/2)-25)/2) = 0 // + (685^(1/2)-25)/2

x = (685^(1/2)-25)/2

x in { -((685^(1/2)+25)/2), (685^(1/2)-25)/2 }

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