10/6=x-2/x

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Solution for 10/6=x-2/x equation:


D( x )

x = 0

x = 0

x = 0

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

10/6 = x-(2/x) // - x-(2/x)

2/x-x+10/6 = 0

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

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

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

x^1

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

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

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

DELTA = 97/9

DELTA > 0

x = ((97/9)^(1/2)-(5/3))/(-1*2) or x = (-(5/3)-(97/9)^(1/2))/(-1*2)

x = ((97/9)^(1/2)-5/3)/(-2) or x = ((97/9)^(1/2)+5/3)/2

x in { ((97/9)^(1/2)-5/3)/(-2), ((97/9)^(1/2)+5/3)/2}

x in { ((97/9)^(1/2)-5/3)/(-2), ((97/9)^(1/2)+5/3)/2 }

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