經濟數學(utility)

2010-01-08 12:43 am
我想問一條數

題目比咗條式我要我plot graph, 條式係咁:

U=-x2+20x

個答案係將佢轉做

=-(x-10)2+100

有冇人可以教我點轉呢條式

唔好意思我數學白痴...
更新1:

第一個x2個2係square 下面括號後都係

回答 (1)

2010-01-08 1:00 am
✔ 最佳答案
U = - x^2 + 20x

= - (x^2 - 20x)

= - (x^2 - 2(10)x + 10^2 - 10^2 ) ...........using a^2 - 2ab + b^2

= - [ (x - 10)^2 - 10^2 ].........................= (a - b)^2 , a=x and b=10 here.

= - (x - 10)^2 + 10^2

= - (x - 10)^2 + 100



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