40x-39=40/x

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Solution for 40x-39=40/x equation: 


D( x )

x = 0

x = 0

x = 0

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

40*x-39 = 40/x // - 40/x

40*x-(40/x)-39 = 0

40*x-40*x^-1-39 = 0

40*x^1-40*x^-1-39*x^0 = 0

(40*x^2-39*x^1-40*x^0)/(x^1) = 0 // * x^2

x^1*(40*x^2-39*x^1-40*x^0) = 0

x^1

40*x^2-39*x-40 = 0

40*x^2-39*x-40 = 0

DELTA = (-39)^2-(-40*4*40)

DELTA = 7921

DELTA > 0

x = (7921^(1/2)+39)/(2*40) or x = (39-7921^(1/2))/(2*40)

x = 8/5 or x = -5/8

x in { -5/8, 8/5} 

x in { -5/8, 8/5 }

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