(1/4)+(2/x)=(11/4x)

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Solution for (1/4)+(2/x)=(11/4x) equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x+1/4 = (11/4)*x // - (11/4)*x

2/x-((11/4)*x)+1/4 = 0

(-11/4)*x+2/x+1/4 = 0

2*x^-1-11/4*x^1+1/4*x^0 = 0

(1/4*x^1-11/4*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^1-11/4*x^2+2*x^0) = 0

x^1

(-11/4)*x^2+(1/4)*x+2 = 0

(-11/4)*x^2+(1/4)*x+2 = 0

DELTA = (1/4)^2-(2*4*(-11/4))

DELTA = 353/16

DELTA > 0

x = ((353/16)^(1/2)-(1/4))/(2*(-11/4)) or x = (-(1/4)-(353/16)^(1/2))/(2*(-11/4))

x = -2/11*((353/16)^(1/2)-1/4) or x = 2/11*((353/16)^(1/2)+1/4)

x in { -2/11*((353/16)^(1/2)-1/4), 2/11*((353/16)^(1/2)+1/4)} 

x in { -2/11*((353/16)^(1/2)-1/4), 2/11*((353/16)^(1/2)+1/4) }

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