z^2/3=z/2+5/6

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Solution for z^2/3=z/2+5/6 equation: 


z in (-oo:+oo)

(z^2)/3 = z/2+5/6 // - z/2+5/6

(z^2)/3-(z/2)-(5/6) = 0

(z^2)/3-(z/2)-5/6 = 0

1/3*z^2-1/2*z-5/6 = 0

DELTA = (-1/2)^2-(-5/6*1/3*4)

DELTA = 49/36

DELTA > 0

z = ((49/36)^(1/2)+1/2)/(1/3*2) or z = (1/2-(49/36)^(1/2))/(1/3*2)

z = 5/2 or z = -1

z in { -1, 5/2 }

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