Method of False Position

 Suppose you are very keen on getting those mooncakes for autumn. You see a promotion where if you buy any amount of mooncake, an additional sixth of that will be given out as gifts. You decide that you need 21 mooncakes to satisfy the cravings of yours. How many do you need to buy?


Solution: To be announced on Wednesday?


As a remark it's interesting to see that the method of false position works out perfectly when the variables on one side works out to be a formally linear function: f(0) = 0, f(2x) = 2f(x) for every x. That is likely something they have thought about and taken advantage of when encountering these problems.

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