If a+1/a=3What is the answer? a⁵+1/a⁵
1 answer:
Answer:
123
Step-by-step explanation:
We can square and cube the equation, then multiply the results together.
(a + ) = 3 ← square both sides
a² + 2 + = 9 ( subtract 2 from both sides )
a² + = 7 → (1)
-----------------------
Now cube both sides
a³ + + 3(a +
) = 27
a³ + + 3(3) = 27
a³ + + 9 = 27 ( subtract 9 from both sides )
a³ + = 18 → (2)
------------------------------
Multiply (1) and (2)
(a² + )(a³ +
) = 7(18)
+ (
+ a) +
= 126
+ 3 +
= 126 ( subtract 3 from both sides )
+
= 123
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