4x=64/x

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Solution for 4x=64/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x = 64/x // - 64/x

4*x-(64/x) = 0

4*x-64*x^-1 = 0

4*x^1-64*x^-1 = 0

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

x^1*(4*x^2-64*x^0) = 0

x^1

4*x^2-64 = 0

4*x^2-64 = 0

DELTA = 0^2-(-64*4*4)

DELTA = 1024

DELTA > 0

x = (1024^(1/2)+0)/(2*4) or x = (0-1024^(1/2))/(2*4)

x = 4 or x = -4

x in { -4, 4} 

x in { -4, 4 }

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