2x+3/3x=5/3+9/x

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Solution for 2x+3/3x=5/3+9/x equation:


D( x )

x = 0

x = 0

x = 0

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

2*x+(3/3)*x = 9/x+5/3 // - 9/x+5/3

2*x+(3/3)*x-(9/x)-(5/3) = 0

2*x+(3/3)*x-9*x^-1-5/3 = 0

3*x^1-9*x^-1-5/3*x^0 = 0

(3*x^2-5/3*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-5/3*x^1-9*x^0) = 0

x^1

3*x^2+(-5/3)*x-9 = 0

3*x^2+(-5/3)*x-9 = 0

DELTA = (-5/3)^2-(-9*3*4)

DELTA = 997/9

DELTA > 0

x = ((997/9)^(1/2)-(-5/3))/(2*3) or x = (-(-5/3)-(997/9)^(1/2))/(2*3)

x = ((997/9)^(1/2)+5/3)/6 or x = (5/3-(997/9)^(1/2))/6

x in { (5/3-(997/9)^(1/2))/6, ((997/9)^(1/2)+5/3)/6}

x in { (5/3-(997/9)^(1/2))/6, ((997/9)^(1/2)+5/3)/6 }

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