1+4/x=11/12x

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Solution for 1+4/x=11/12x equation:


D( x )

x = 0

x = 0

x = 0

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

4/x+1 = (11/12)*x // - (11/12)*x

4/x-((11/12)*x)+1 = 0

(-11/12)*x+4/x+1 = 0

4*x^-1-11/12*x^1+1*x^0 = 0

(1*x^1-11/12*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-11/12*x^2+4*x^0) = 0

x^1

(-11/12)*x^2+x+4 = 0

(-11/12)*x^2+x+4 = 0

DELTA = 1^2-(4*4*(-11/12))

DELTA = 47/3

DELTA > 0

x = ((47/3)^(1/2)-1)/(2*(-11/12)) or x = (-(47/3)^(1/2)-1)/(2*(-11/12))

x = -6/11*((47/3)^(1/2)-1) or x = 6/11*((47/3)^(1/2)+1)

x in { -6/11*((47/3)^(1/2)-1), 6/11*((47/3)^(1/2)+1)}

x in { -6/11*((47/3)^(1/2)-1), 6/11*((47/3)^(1/2)+1) }

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