關於中五數學題目

2007-09-14 5:38 am
a:b:c=2:3:4
a(2次方)-b(2次方)+c(2次方)=44
急需解决~THX~

回答 (1)

2007-09-14 5:47 am
✔ 最佳答案
let a = 2k,

then b = 3k, c = 4k

a^2 - b^2 + c^2 = 44

(2k)^2 - (3k)^2 + (4k)^2 = 44

11k^2 = 44

k^2 = 4

k = 2 or -2

so,
when k = 2,

a = 4, b = 6, c = 8

when k = -2,

a = -4, b = -6, c = -8


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