if a²-4a+1=0 then find
(1)a+1/a
(2)a-1/a
(3)a²-1/a²
(4)a²+1/a²
(5)a^8+1/a⁴
(6)a³-1/a³
(7)a³+1/a³
pls solve them step by step
Answers
Answered by
0
Answer:
30
Step-by-step explanation:
a
2
−4a−1=0
⇒
a
a
2
−1
=4⇒a−
a
1
=4
Now, a
2
+3a+
a
2
1
=
a
3
=a
2
+
a
2
1
+3(a−
a
1
)=(a−
a
1
)
2
+2+3(a−
a
1
)
=4
2
+2+3×4=30.
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