x-24=25/x

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Solution for x-24=25/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-24 = 25/x // - 25/x

x-(25/x)-24 = 0

x-25*x^-1-24 = 0

1*x^1-25*x^-1-24*x^0 = 0

(1*x^2-24*x^1-25*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-24*x^1-25*x^0) = 0

x^1

x^2-24*x-25 = 0

x^2-24*x-25 = 0

DELTA = (-24)^2-(-25*1*4)

DELTA = 676

DELTA > 0

x = (676^(1/2)+24)/(1*2) or x = (24-676^(1/2))/(1*2)

x = 25 or x = -1

x in { -1, 25} 

x in { -1, 25 }

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