MathDB

36

Part of 2002 National Olympiad First Round

Problems(1)

P36 [Algebra] - Turkish NMO 1st Round - 2002

Source:

8/11/2014
If a5+5a4+10a3+3a2−9a−6=0a^5 +5a^4 +10a^3 +3a^2 -9a-6 = 0 where aa is a real number other than −1-1, what is (a+1)3(a + 1)^3?
<spanclass=′latex−bold′>a)</span> 1<spanclass=′latex−bold′>b)</span> 33<spanclass=′latex−bold′>c)</span> 7<spanclass=′latex−bold′>d)</span> 8<spanclass=′latex−bold′>e)</span> 27 <span class='latex-bold'>a)</span>\ 1 \qquad<span class='latex-bold'>b)</span>\ 3\sqrt 3 \qquad<span class='latex-bold'>c)</span>\ 7 \qquad<span class='latex-bold'>d)</span>\ 8 \qquad<span class='latex-bold'>e)</span>\ 27