4/x=x/5

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Solution for 4/x=x/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = x/5 // - x/5

4/x-(x/5) = 0

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

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

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

x^1

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

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

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

DELTA = 16/5

DELTA > 0

x = ((16/5)^(1/2)+0)/(2*(-1/5)) or x = (0-(16/5)^(1/2))/(2*(-1/5))

x = -5/2*(16/5)^(1/2) or x = 5/2*(16/5)^(1/2)

x in { -5/2*(16/5)^(1/2), 5/2*(16/5)^(1/2)} 

x in { -5/2*(16/5)^(1/2), 5/2*(16/5)^(1/2) }

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