Simple question about power

Question

Please solve this question and describe it. $$a^2+b^2+ab=b-a-1\Longrightarrow a^{1001}+b^{1001}=?$$ By Newton formula.

Please show what you have tried and where you got stuck. – fgp Dec 06 '13 at 15:00 — fgp, Dec 06 '13 at 15:00

score 3 · Accepted Answer · answered Dec 07 '13 at 08:30

3

$a^2+b^2+ab=b-a-1 \implies (a+b)^2+(a+1)^2+(b-1)^2=0 \implies a=-1,b=1$

answered Dec 07 '13 at 08:30

chenbai

1 Answers1