(15x)-16=(15/x)

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Solution for (15x)-16=(15/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

15*x-16 = 15/x // - 15/x

15*x-(15/x)-16 = 0

15*x-15*x^-1-16 = 0

15*x^1-15*x^-1-16*x^0 = 0

(15*x^2-16*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(15*x^2-16*x^1-15*x^0) = 0

x^1

15*x^2-16*x-15 = 0

15*x^2-16*x-15 = 0

DELTA = (-16)^2-(-15*4*15)

DELTA = 1156

DELTA > 0

x = (1156^(1/2)+16)/(2*15) or x = (16-1156^(1/2))/(2*15)

x = 5/3 or x = -3/5

x in { -3/5, 5/3} 

x in { -3/5, 5/3 }

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