z-1/z+4=7/8

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Solution for z-1/z+4=7/8 equation:


D( z )

z = 0

z = 0

z = 0

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

z-(1/z)+4 = 7/8 // - 7/8

z-(1/z)-(7/8)+4 = 0

z-z^-1-7/8+4 = 0

1*z^1-1*z^-1+25/8*z^0 = 0

(1*z^2+25/8*z^1-1*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2+25/8*z^1-1*z^0) = 0

z^1

z^2+(25/8)*z-1 = 0

z^2+(25/8)*z-1 = 0

DELTA = (25/8)^2-(-1*1*4)

DELTA = 881/64

DELTA > 0

z = ((881/64)^(1/2)-(25/8))/(1*2) or z = (-(25/8)-(881/64)^(1/2))/(1*2)

z = ((881/64)^(1/2)-25/8)/2 or z = (-((881/64)^(1/2)+25/8))/2

z in { (-((881/64)^(1/2)+25/8))/2, ((881/64)^(1/2)-25/8)/2}

z in { (-((881/64)^(1/2)+25/8))/2, ((881/64)^(1/2)-25/8)/2 }

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