3-4/x=x/2

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Solution for 3-4/x=x/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3-(4/x) = x/2 // - x/2

3-(x/2)-(4/x) = 0

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

3*x^0-1/2*x^1-4*x^-1 = 0

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

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

x^1

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

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

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

DELTA = 1

DELTA > 0

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

x = 2 or x = 4

x in { 2, 4} 

x in { 2, 4 }

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