2x/x2-4x

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Solution for 2x/x2-4x equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

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

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

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

x^1

2-4*x^2 = 0

2-4*x^2 = 0

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

DELTA = 32

DELTA > 0

x = (32^(1/2)+0)/(-4*2) or x = (0-32^(1/2))/(-4*2)

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

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

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

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