5/x+3=x/2

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


D( x )

x = 0

x = 0

x = 0

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

5/x+3 = x/2 // - x/2

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

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

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

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

x^1

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

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

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

DELTA = 19

DELTA > 0

x = (19^(1/2)-3)/(2*(-1/2)) or x = (-19^(1/2)-3)/(2*(-1/2))

x = 3-19^(1/2) or x = 19^(1/2)+3

x in { 3-19^(1/2), 19^(1/2)+3} 

x in { 3-19^(1/2), 19^(1/2)+3 }

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