已知a-1/a=1求a²+1/a²及a⁴+1/a⁴
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已知a-1/a=1求a²+1/a²及a⁴+1/a⁴
已知a-1/a=1求a²+1/a²及a⁴+1/a⁴
已知a-1/a=1求a²+1/a²及a⁴+1/a⁴
∵a-1/a=1
∴(a-1/a)²=1
a²+1/a²=3
(a²+1/a²)²=3²
a⁴+1/a⁴=7