看板 Math 關於我們 聯絡資訊
※ 引述《ncku0610 (小丸子)》之銘言: : XY : ------=3.02 : X+Y : 5Y 5X : --------------= -3.51 : X+Y X+Y : X=20.3 : Y=3.55 xy/(x+y) = a ---(1) 5y/(x+y) - 5x/(x+y) = b ---(2) -------------------------- (1) => xy/a=x+y 代入(2) 5ay/(xy) - 5ax/(xy) = b => 1/x-1/y = b/(5a) => 1/x = 1/y+ b/(5a) 帶入(1) 因為(1) = 1/(1/y+1/x) = a 所以帶入後 1/(2/y + b/(5a)) = a 分子分母搬一搬就可以了 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.251.231.192