z+3/z=-4

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Solution for z+3/z=-4 equation: 


D( z )

z = 0

z = 0

z = 0

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

z+3/z = -4 // + 4

z+3/z+4 = 0

1*z^1+3*z^-1+4*z^0 = 0

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

z^1*(1*z^2+4*z^1+3*z^0) = 0

z^1

z^2+4*z+3 = 0

z^2+4*z+3 = 0

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

DELTA = 4

DELTA > 0

z = (4^(1/2)-4)/(1*2) or z = (-4^(1/2)-4)/(1*2)

z = -1 or z = -3

z in { -3, -1} 

z in { -3, -1 }

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