4*x=1/x

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Solution for 4*x=1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x = 1/x // - 1/x

4*x-(1/x) = 0

4*x-x^-1 = 0

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

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

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

x^1

4*x^2-1 = 0

4*x^2-1 = 0

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

DELTA = 16

DELTA > 0

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

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

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

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

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