12/x=x+5/3

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Solution for 12/x=x+5/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

12/x = x+5/3 // - x+5/3

12/x-x-(5/3) = 0

12/x-x-5/3 = 0

12*x^-1-1*x^1-5/3*x^0 = 0

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

x^1*(12*x^0-1*x^2-5/3*x^1) = 0

x^1

(-5/3)*x-x^2+12 = 0

(-5/3)*x-x^2+12 = 0

DELTA = (-5/3)^2-(-1*4*12)

DELTA = 457/9

DELTA > 0

x = ((457/9)^(1/2)-(-5/3))/(-1*2) or x = (-(-5/3)-(457/9)^(1/2))/(-1*2)

x = ((457/9)^(1/2)+5/3)/(-2) or x = (5/3-(457/9)^(1/2))/(-2)

x in { ((457/9)^(1/2)+5/3)/(-2), (5/3-(457/9)^(1/2))/(-2)} 

x in { ((457/9)^(1/2)+5/3)/(-2), (5/3-(457/9)^(1/2))/(-2) }

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