2/x+x/3=31/15

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Solution for 2/x+x/3=31/15 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/3+2/x = 31/15 // - 31/15

x/3+2/x-(31/15) = 0

x/3+2/x-31/15 = 0

1/3*x^1+2*x^-1-31/15*x^0 = 0

(1/3*x^2-31/15*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1/3*x^2-31/15*x^1+2*x^0) = 0

x^1

(1/3)*x^2+(-31/15)*x+2 = 0

(1/3)*x^2+(-31/15)*x+2 = 0

DELTA = (-31/15)^2-(2*4*(1/3))

DELTA = 361/225

DELTA > 0

x = ((361/225)^(1/2)-(-31/15))/(2*(1/3)) or x = (-(-31/15)-(361/225)^(1/2))/(2*(1/3))

x = 5 or x = 6/5

x in { 6/5, 5} 

x in { 6/5, 5 }

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