3/x-8x

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Solution for 3/x-8x equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-(8*x) = 0

3/x-8*x = 0

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

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

x^1*(3*x^0-8*x^2) = 0

x^1

3-8*x^2 = 0

3-8*x^2 = 0

DELTA = 0^2-(-8*3*4)

DELTA = 96

DELTA > 0

x = (96^(1/2)+0)/(-8*2) or x = (0-96^(1/2))/(-8*2)

x = (-6^(1/2))/4 or x = (1*6^(1/2))/4

x in { (-6^(1/2))/4, (1*6^(1/2))/4} 

x in { (-6^(1/2))/4, (1*6^(1/2))/4 }

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