8/x=2x

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Solution for 8/x=2x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

8/x-(2*x) = 0

8/x-2*x = 0

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

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

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

x^1

8-2*x^2 = 0

8-2*x^2 = 0

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

DELTA = 64

DELTA > 0

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

x = -2 or x = 2

x in { -2, 2} 

x in { -2, 2 }

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