(1/x-3)-(5/3-x)

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Solution for (1/x-3)-(5/3-x) equation:


D( x )

x = 0

x = 0

x = 0

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

x+1/x-(5/3)-3 = 0

x+1/x-5/3-3 = 0

1*x^1+1*x^-1-14/3*x^0 = 0

(1*x^2-14/3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-14/3*x^1+1*x^0) = 0

x^1

x^2+(-14/3)*x+1 = 0

x^2+(-14/3)*x+1 = 0

DELTA = (-14/3)^2-(1*1*4)

DELTA = 160/9

DELTA > 0

x = ((160/9)^(1/2)-(-14/3))/(1*2) or x = (-(-14/3)-(160/9)^(1/2))/(1*2)

x = ((160/9)^(1/2)+14/3)/2 or x = (14/3-(160/9)^(1/2))/2

x in { (14/3-(160/9)^(1/2))/2, ((160/9)^(1/2)+14/3)/2}

x in { (14/3-(160/9)^(1/2))/2, ((160/9)^(1/2)+14/3)/2 }

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