-7/z-3=-8/3z-9-4

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Solution for -7/z-3=-8/3z-9-4 equation: 


D( z )

z = 0

z = 0

z = 0

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

-7/z-3 = (-8/3)*z-9-4 // - (-8/3)*z-9-4

4-((-8/3)*z)-7/z-3+9 = 0

(8/3)*z-7/z-3+4+9 = 0

8/3*z^1-7*z^-1+10*z^0 = 0

(8/3*z^2+10*z^1-7*z^0)/(z^1) = 0 // * z^2

z^1*(8/3*z^2+10*z^1-7*z^0) = 0

z^1

(8/3)*z^2+10*z-7 = 0

(8/3)*z^2+10*z-7 = 0

DELTA = 10^2-(-7*4*(8/3))

DELTA = 524/3

DELTA > 0

z = ((524/3)^(1/2)-10)/(2*(8/3)) or z = (-(524/3)^(1/2)-10)/(2*(8/3))

z = 3/16*((524/3)^(1/2)-10) or z = -3/16*((524/3)^(1/2)+10)

z in { -3/16*((524/3)^(1/2)+10), 3/16*((524/3)^(1/2)-10)} 

z in { -3/16*((524/3)^(1/2)+10), 3/16*((524/3)^(1/2)-10) }

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