x-3/(x/4)-(4/x)

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Solution for x-3/(x/4)-(4/x) equation: 


D( x )

x/4 = 0

x = 0

x/4 = 0

x/4 = 0

1/4*x = 0 // : 1/4

x = 0

x = 0

x = 0

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

x-(3/(x/4))-(4/x) = 0

x-12*x^-1-4*x^-1 = 0

1*x^1-16*x^-1 = 0

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

x^1*(1*x^2-16*x^0) = 0

x^1

x^2-16 = 0

x^2-16 = 0

DELTA = 0^2-(-16*1*4)

DELTA = 64

DELTA > 0

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

x = 4 or x = -4

x in { -4, 4} 

x in { -4, 4 }

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