x-1/x-24/5=0

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Solution for x-1/x-24/5=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)-(24/5) = 0

x-x^-1-24/5 = 0

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

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

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

x^1

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

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

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

DELTA = 676/25

DELTA > 0

x = ((676/25)^(1/2)-(-24/5))/(1*2) or x = (-(-24/5)-(676/25)^(1/2))/(1*2)

x = 5 or x = -1/5

x in { -1/5, 5} 

x in { -1/5, 5 }

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