🚀 go-pugleaf

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 | >>shige>   $@#4<!$NBe?tJ}Dx<0$K4X$9$k<ALd$G$9(J ^o^;$@!#(J
 | >>$@!V%*%$%i!<(J$@$N2rK!!W$H8F$P$l$F$$$kJ}K!$G$9$M!#(J
 | >>shige> 	x^4 + x^3 == 0
 | >>shige> $@$r2r$/$H!"(Jx = 1/2, -1/2$@!J#3(J$@=E2r!K$K$J$C$F$7$^$$$^$9!#(J
 | >>		    ~~~~~~~~~~~~~~~~~~~~~~
 | >>$@$3$N7k2L$,=P$kF;6Z$r<($7$FD:$1$^$9$+(J$@!)(J
	$@!'(J
 |	  x^4 + x^3 == 0					(i)
 |
 | x = u - 1/4$@$HCV$-49$($k!#(J
 |
 |	  u^4 + p u^3 + q u + r == 0			(ii)
 |	  p = -3/8, q = 1/8, r = -3/256			(iii)
 |
 |$@J,2rJ}Dx<0(J t^3 + 2 p t^2 + (p^2 - 4 r) t - q^2 == 0 $@$H$=$N:,$O!"(J
 |
 |	  t^3 - 3/4 t^2 + 3/16 t - 1/64 == 0		(iv)
 |			    (t - 1/4)^3 == 0
 |				      t == 1/4
 |
 |$@$h$C$F!"(J(ii)$@$N:,$O!"(J
 |
 |	  u = 1/2 {sqrt(1/4) + sqrt(1/4) + sqrt(1/4)} = 3/4
 |	  u = 1/2 {sqrt(1/4) - sqrt(1/4) - sqrt(1/4)} = -1/4 ... $@#3=E:,(J

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	sqrt(t1)sqrt(t2)sqrt(t3) = - q/8 = - 1/64

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--
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