2/5x-4/x

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Solution for 2/5x-4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(2/5)*x-(4/x) = 0

(2/5)*x-4*x^-1 = 0

2/5*x^1-4*x^-1 = 0

(2/5*x^2-4*x^0)/(x^1) = 0 // * x^2

x^1*(2/5*x^2-4*x^0) = 0

x^1

(2/5)*x^2-4 = 0

(2/5)*x^2-4 = 0

DELTA = 0^2-(-4*4*(2/5))

DELTA = 32/5

DELTA > 0

x = ((32/5)^(1/2)+0)/(2*(2/5)) or x = (0-(32/5)^(1/2))/(2*(2/5))

x = 5/4*(32/5)^(1/2) or x = 5/4*(32/5)^(1/2)

x in { 5/4*(32/5)^(1/2), 5/4*(32/5)^(1/2)} 

x in { 5/4*(32/5)^(1/2), 5/4*(32/5)^(1/2) }

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