3/2x+4-x/x^2+4x+4=0

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Solution for 3/2x+4-x/x^2+4x+4=0 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

11/2*x^1-1*x^-1+8*x^0 = 0

(11/2*x^2+8*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(11/2*x^2+8*x^1-1*x^0) = 0

x^1

(11/2)*x^2+8*x-1 = 0

(11/2)*x^2+8*x-1 = 0

DELTA = 8^2-(-1*4*(11/2))

DELTA = 86

DELTA > 0

x = (86^(1/2)-8)/(2*(11/2)) or x = (-86^(1/2)-8)/(2*(11/2))

x = (86^(1/2)-8)/11 or x = (-(86^(1/2)+8))/11

x in { (-(86^(1/2)+8))/11, (86^(1/2)-8)/11}

x in { (-(86^(1/2)+8))/11, (86^(1/2)-8)/11 }

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