vacinammo288
2022-04-27
despescarwh9
Beginner2022-04-28Added 15 answers
Step 1
In the first approach: when you solve for r you would have got an equation . This gives you and . You have only considered the first case (i.e. when ). If you consider the second case , then you get In which case you will get . So both approaches will yield the same answers.
Step 2
Some details:
Likewise
Thus
This means Consequently or (the second case occurs when ). Now we can use,
Likewise we have
So,
Now plug in the two possible values of or to get both the possibilities.
Step 3
In fact, from the conditions of the problem that p and q are integers, we can see that is not a valid solution because it gives , in which case Thus is the only valid possibility. In which case
is the only valid answer.
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