5/3x+1/x=13+7/3

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Solution for 5/3x+1/x=13+7/3 equation:


D( x )

x = 0

x = 0

x = 0

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

(5/3)*x+1/x = 7/3+13 // - 7/3+13

(5/3)*x+1/x-(7/3)-13 = 0

(5/3)*x+1/x-7/3-13 = 0

5/3*x^1+1*x^-1-46/3*x^0 = 0

(5/3*x^2-46/3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(5/3*x^2-46/3*x^1+1*x^0) = 0

x^1

(5/3)*x^2+(-46/3)*x+1 = 0

(5/3)*x^2+(-46/3)*x+1 = 0

DELTA = (-46/3)^2-(1*4*(5/3))

DELTA = 2056/9

DELTA > 0

x = ((2056/9)^(1/2)-(-46/3))/(2*(5/3)) or x = (-(-46/3)-(2056/9)^(1/2))/(2*(5/3))

x = 3/10*((2056/9)^(1/2)+46/3) or x = 3/10*(46/3-(2056/9)^(1/2))

x in { 3/10*(46/3-(2056/9)^(1/2)), 3/10*((2056/9)^(1/2)+46/3)}

x in { 3/10*(46/3-(2056/9)^(1/2)), 3/10*((2056/9)^(1/2)+46/3) }

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