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已知 \({a^{\tfrac{1}{2}}} + {a^{ - \tfrac{1}{2}}} = 3\),求下列各式的值.
①\(a + {a^{ - 1}}\);
参考答案:①\(\because {({a^{\tfrac{1}{2}}} + {a^{ - \tfrac{1}{2}}})^2} = 9\) \(\therefore a + {a^{ - 1}} + 2 = 9\) \(\therefore a + {a^{ - 1}} = 7\)
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