(1/x)-4x=0

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Solution for (1/x)-4x=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x-(4*x) = 0

1/x-4*x = 0

1*x^-1-4*x^1 = 0

(1*x^0-4*x^2)/(x^1) = 0 // * x^2

x^1*(1*x^0-4*x^2) = 0

x^1

1-4*x^2 = 0

1-4*x^2 = 0

DELTA = 0^2-(-4*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(-4*2) or x = (0-16^(1/2))/(-4*2)

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

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

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

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