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Question
If p + 2q = 18 and pq = 40, find `2/"p" + 1/"q"`
Solution
Given p + 2q = 18 ....(1)
pq = 40 ....(2)
`2/"p" + 1/"q" = ((2 xx "q") + (1 xx "p"))/"pq"`
= `(2"q" + "p")/"pq"`
= `18/40` ....[∵ from (1) and (2)]
`2/"p" + 1/"q" = 9/20`
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