x/3+4/x=7/3

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Solution for x/3+4/x=7/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/3+4/x = 7/3 // - 7/3

x/3+4/x-(7/3) = 0

x/3+4/x-7/3 = 0

1/3*x^1+4*x^-1-7/3*x^0 = 0

(1/3*x^2-7/3*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(1/3*x^2-7/3*x^1+4*x^0) = 0

x^1

(1/3)*x^2+(-7/3)*x+4 = 0

(1/3)*x^2+(-7/3)*x+4 = 0

DELTA = (-7/3)^2-(4*4*(1/3))

DELTA = 1/9

DELTA > 0

x = ((1/9)^(1/2)-(-7/3))/(2*(1/3)) or x = (-(-7/3)-(1/9)^(1/2))/(2*(1/3))

x = 4 or x = 3

x in { 3, 4} 

x in { 3, 4 }

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