2/x=8x

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Solution for 2/x=8x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = 8*x // - 8*x

2/x-(8*x) = 0

2/x-8*x = 0

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

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

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

x^1

2-8*x^2 = 0

2-8*x^2 = 0

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

DELTA = 64

DELTA > 0

x = (64^(1/2)+0)/(-8*2) or x = (0-64^(1/2))/(-8*2)

x = -1/2 or x = 1/2

x in { -1/2, 1/2} 

x in { -1/2, 1/2 }

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