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# Choosing correct variables

This week, we learn about Choosing correct variables. By expressing our ideas using the appropriate variables, which may not have been highlighted in the question, we can simplify the problem which makes it easier to understand and approach it.

What question would you use to illustrate how the technique of Choosing the Correct Variables can be very useful to interpreting a problem? Just state the problem, and leave it to others to work out the approach.

Note by Calvin Lin
3 years, 10 months ago

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I got stumped on this week’s question Rooted Away, and it seems to use very similar concepts. It asks you to solve

$x = \sqrt{4-x}\sqrt{5-x} + \sqrt{5-x}\sqrt{6-x} + \sqrt{6-x}\sqrt{4-x}.$

When I first worked on it, I couldn’t get anywhere, and didn’t want to square all the ugly stuff.

I got impatient, entered the solution discussion, and read C L ‘s solution. It's amazing how much his choice of variables simplified the problem!

P.S. Is C L a nickname for Calvin Lin? · 3 years, 10 months ago