9/x+13=5/2x

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Solution for 9/x+13=5/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x+13 = (5/2)*x // - (5/2)*x

9/x-((5/2)*x)+13 = 0

(-5/2)*x+9/x+13 = 0

9*x^-1-5/2*x^1+13*x^0 = 0

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

x^1*(13*x^1-5/2*x^2+9*x^0) = 0

x^1

(-5/2)*x^2+13*x+9 = 0

(-5/2)*x^2+13*x+9 = 0

DELTA = 13^2-(4*9*(-5/2))

DELTA = 259

DELTA > 0

x = (259^(1/2)-13)/(2*(-5/2)) or x = (-259^(1/2)-13)/(2*(-5/2))

x = (259^(1/2)-13)/(-5) or x = (259^(1/2)+13)/5

x in { (259^(1/2)-13)/(-5), (259^(1/2)+13)/5} 

x in { (259^(1/2)-13)/(-5), (259^(1/2)+13)/5 }

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