x-64/x-16

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Solution for x-64/x-16 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(64/x)-16 = 0

x-64*x^-1-16 = 0

1*x^1-64*x^-1-16*x^0 = 0

(1*x^2-16*x^1-64*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-16*x^1-64*x^0) = 0

x^1

x^2-16*x-64 = 0

x^2-16*x-64 = 0

DELTA = (-16)^2-(-64*1*4)

DELTA = 512

DELTA > 0

x = (512^(1/2)+16)/(1*2) or x = (16-512^(1/2))/(1*2)

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

x in { (16-16*2^(1/2))/2, (16*2^(1/2)+16)/2} 

x in { (16-16*2^(1/2))/2, (16*2^(1/2)+16)/2 }

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