Binomial Expansion(3)

2010-02-04 3:23 am
Given that x+1/x = 1, without directly solving x, find the value of x^7 + 1/x^7

回答 (2)

2010-02-04 4:24 am
✔ 最佳答案
As follows:

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2010-02-04 3:33 am




Given that x+1/x = 1, without directly
solving x, find the value of x^7 + 1/x^7

Sol

x+1/x=1

x+1/x=2(1/2)

x+1/x=2cos60度

x^7+1/x^7=2cos420度

x^7+1/x^7=2cos360度

x^7+1/x^7=1







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