3/2x+31/6-5-3/x

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Solution for 3/2x+31/6-5-3/x equation:


D( x )

x = 0

x = 0

x = 0

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

(3/2)*x-(3/x)+31/6-5 = 0

(3/2)*x-3*x^-1+31/6-5 = 0

3/2*x^1-3*x^-1+1/6*x^0 = 0

(3/2*x^2+1/6*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2+1/6*x^1-3*x^0) = 0

x^1

(3/2)*x^2+(1/6)*x-3 = 0

(3/2)*x^2+(1/6)*x-3 = 0

DELTA = (1/6)^2-(-3*4*(3/2))

DELTA = 649/36

DELTA > 0

x = ((649/36)^(1/2)-(1/6))/(2*(3/2)) or x = (-(1/6)-(649/36)^(1/2))/(2*(3/2))

x = ((649/36)^(1/2)-1/6)/3 or x = (-((649/36)^(1/2)+1/6))/3

x in { (-((649/36)^(1/2)+1/6))/3, ((649/36)^(1/2)-1/6)/3}

x in { (-((649/36)^(1/2)+1/6))/3, ((649/36)^(1/2)-1/6)/3 }

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