Re: [解題] 國二數學根號計算
※ 引述《IOOOO (^_^)》之銘言:
: 4.題目:X+Y=根號Z
: Y+Z=根號X
: X+Z=根號Y
: X.Y.Z皆大於0 求X.Y.Z的值
X+Y+Z = Z + Z^(1/2) = X + X^(1/2) = Y + Y^(1/2)
=> Z + Z^(1/2) = X + X^(1/2) => Z^(1/2) = X^(1/2) => X = Z
同理 X = Y => X = Y = Z (後略)
===========================================================
這種形式出題還容易算, 以前常看到的形式是:
(x+y)(y+z)(z+x) = (xyz)^(1/2), 求x,y,z
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 211.76.249.35
※ 編輯: PUTOUCHANG 來自: 211.76.249.35 (11/04 23:48)
討論串 (同標題文章)