5/6x-2=-1/x+1

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Solution for 5/6x-2=-1/x+1 equation:


D( x )

x = 0

x = 0

x = 0

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

(5/6)*x-2 = 1-1/x // - 1-1/x

(5/6)*x-(-1/x)-2-1 = 0

(5/6)*x+x^-1-2-1 = 0

5/6*x^1+1*x^-1-3*x^0 = 0

(5/6*x^2-3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(5/6*x^2-3*x^1+1*x^0) = 0

x^1

(5/6)*x^2-3*x+1 = 0

(5/6)*x^2-3*x+1 = 0

DELTA = (-3)^2-(1*4*(5/6))

DELTA = 17/3

DELTA > 0

x = ((17/3)^(1/2)+3)/(2*(5/6)) or x = (3-(17/3)^(1/2))/(2*(5/6))

x = 3/5*((17/3)^(1/2)+3) or x = 3/5*(3-(17/3)^(1/2))

x in { 3/5*(3-(17/3)^(1/2)), 3/5*((17/3)^(1/2)+3)}

x in { 3/5*(3-(17/3)^(1/2)), 3/5*((17/3)^(1/2)+3) }

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