z^2/-1=z/5+4/-5

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Solution for z^2/-1=z/5+4/-5 equation: 


z in (-oo:+oo)

(z^2)/(-1) = z/5+4/(-5) // - z/5+4/(-5)

(z^2)/(-1)-(z/5)-(4/(-5)) = 0

4/5-z^2-(z/5) = 0

4/5-z^2-1/5*z = 0

DELTA = (-1/5)^2-(-1*4/5*4)

DELTA = 81/25

DELTA > 0

z = ((81/25)^(1/2)+1/5)/(-1*2) or z = (1/5-(81/25)^(1/2))/(-1*2)

z = -1 or z = 4/5

z in { -1, 4/5 }

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