3個連續正整數的和的平比它們各自的平方的和大94,3個連續正整數是什麼?
要有式同步驟
maths
2011-10-03 3:28 am
回答 (1)
2011-10-03 3:33 am
✔ 最佳答案
設3個數為(x-1,x,x+1),(x-1+x+x+1)^2 - 94 = (x-1)^2 + x^2 + (x+1)^2
9x^2 - 94 = x^2 - 2x + 1 + x^2 + x^2 + 2x + 1
6x^2 - 96 = 0
x^2 - 16 = 0
x = 4 or -4(rej., x>0)
3個數為 = 3,4,5
參考: Hope the solution can help you^^”
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111002000051KK00958