4/x=x/20

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Solution for 4/x=x/20 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = x/20 // - x/20

4/x-(x/20) = 0

4*x^-1-1/20*x^1 = 0

(4*x^0-1/20*x^2)/(x^1) = 0 // * x^2

x^1*(4*x^0-1/20*x^2) = 0

x^1

(-1/20)*x^2+4 = 0

(-1/20)*x^2+4 = 0

DELTA = 0^2-(4*4*(-1/20))

DELTA = 4/5

DELTA > 0

x = ((4/5)^(1/2)+0)/(2*(-1/20)) or x = (0-(4/5)^(1/2))/(2*(-1/20))

x = -10*(4/5)^(1/2) or x = 10*(4/5)^(1/2)

x in { -10*(4/5)^(1/2), 10*(4/5)^(1/2)} 

x in { -10*(4/5)^(1/2), 10*(4/5)^(1/2) }

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