1/4x+2/x-5/1=0

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Solution for 1/4x+2/x-5/1=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 23

DELTA > 0

x = (23^(1/2)+5)/(2*(1/4)) or x = (5-23^(1/2))/(2*(1/4))

x = 2*(23^(1/2)+5) or x = 2*(5-23^(1/2))

x in { 2*(5-23^(1/2)), 2*(23^(1/2)+5)} 

x in { 2*(5-23^(1/2)), 2*(23^(1/2)+5) }

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