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Question
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
Sum
Solution
Dividing the given equation by a, we get:
`"a"^2/"a" - (7"a")/"a" + 1/"a" = 0, "a" - 7 + 1/"a" = 0`
⇒ `"a" + (1)/"a"` = 7.
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