8x-12/x

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Solution for 8x-12/x equation: 


D( x )

x = 0

x = 0

x = 0

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

8*x-(12/x) = 0

8*x-12*x^-1 = 0

8*x^1-12*x^-1 = 0

(8*x^2-12*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^2-12*x^0) = 0

x^1

8*x^2-12 = 0

8*x^2-12 = 0

DELTA = 0^2-(-12*4*8)

DELTA = 384

DELTA > 0

x = (384^(1/2)+0)/(2*8) or x = (0-384^(1/2))/(2*8)

x = (1*6^(1/2))/2 or x = (-6^(1/2))/2

x in { (-6^(1/2))/2, (1*6^(1/2))/2} 

x in { (-6^(1/2))/2, (1*6^(1/2))/2 }

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