x=24/x-5

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Solution for x=24/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 24/x-5 // - 24/x-5

x-(24/x)+5 = 0

x-24*x^-1+5 = 0

1*x^1-24*x^-1+5*x^0 = 0

(1*x^2+5*x^1-24*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+5*x^1-24*x^0) = 0

x^1

x^2+5*x-24 = 0

x^2+5*x-24 = 0

DELTA = 5^2-(-24*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(1*2) or x = (-121^(1/2)-5)/(1*2)

x = 3 or x = -8

x in { -8, 3} 

x in { -8, 3 }

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