24x-55=24/x

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Solution for 24x-55=24/x equation: 


D( x )

x = 0

x = 0

x = 0

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

24*x-55 = 24/x // - 24/x

24*x-(24/x)-55 = 0

24*x-24*x^-1-55 = 0

24*x^1-24*x^-1-55*x^0 = 0

(24*x^2-55*x^1-24*x^0)/(x^1) = 0 // * x^2

x^1*(24*x^2-55*x^1-24*x^0) = 0

x^1

24*x^2-55*x-24 = 0

24*x^2-55*x-24 = 0

DELTA = (-55)^2-(-24*4*24)

DELTA = 5329

DELTA > 0

x = (5329^(1/2)+55)/(2*24) or x = (55-5329^(1/2))/(2*24)

x = 8/3 or x = -3/8

x in { -3/8, 8/3} 

x in { -3/8, 8/3 }

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