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If-a-3-a-1-0-then-find-the-valueof-a-4-a-3-a-2-2a-1-

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Question Number 49123 by Pk1167156@gmail.com last updated on 03/Dec/18
If a^3 −a−1=0 then find the valueof a^4 +a^3 −a^2 −2a+1
Ifa3−a−1=0thenfindthevalueofa4+a3−a2−2a+1
Commented by behi83417@gmail.com last updated on 03/Dec/18
a^3 =a+1 =a^3 (a+1)−(a+1)^2 +2=a^3 (a^3 )−(a^3 )^2 +2=2 .
a3=a+1=a3(a+1)−(a+1)2+2=a3(a3)−(a3)2+2=2.
Answered by mr W last updated on 03/Dec/18
a^3 =a+1 a^4 +a^3 −a^2 −2a+1 =a(a+1)+a^3 −a^2 −2a+1 =a^3 −a+1 =a^3 −a−1+2 =0+2 =2
a3=a+1a4+a3−a2−2a+1=a(a+1)+a3−a2−2a+1=a3−a+1=a3−a−1+2=0+2=2

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