8/x=100x

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Solution for 8/x=100x equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x = 100*x // - 100*x

8/x-(100*x) = 0

8/x-100*x = 0

8*x^-1-100*x^1 = 0

(8*x^0-100*x^2)/(x^1) = 0 // * x^2

x^1*(8*x^0-100*x^2) = 0

x^1

8-100*x^2 = 0

8-100*x^2 = 0

DELTA = 0^2-(-100*4*8)

DELTA = 3200

DELTA > 0

x = (3200^(1/2)+0)/(-100*2) or x = (0-3200^(1/2))/(-100*2)

x = (-2^(1/2))/5 or x = (2^(1/2))/5

x in { (-2^(1/2))/5, (2^(1/2))/5} 

x in { (-2^(1/2))/5, (2^(1/2))/5 }

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