Cho `(3x – 2y)/4 = (2z – 4x)/3 = (4y – 3z)/2` chứng minh `x/2 = y/3 = z/4` Question Cho `(3x – 2y)/4 = (2z – 4x)/3 = (4y – 3z)/2` chứng minh `x/2 = y/3 = z/4` in progress 0 Môn Toán Mộc Miên 3 years 2021-04-15T13:21:52+00:00 2021-04-15T13:21:52+00:00 1 Answers 43 views 0
Answers ( )
(3x – 2y)/4 = (2z – 4x)/3 = (4y – 3z)/2`
`=> (12x – 8y)/4 = (6z – 12x)/3 = (8y – 6z)/2 = (12x – 8y)/4 + (6z – 12x)/3 + (8y – 6z)/2 = (12x – 8y+6z – 12x+8y – 6z)/(4+3+2) = 0/(4+3+2) = 0`
`=> 3x – 2y = 2z – 4x = 0`
`=> 3x = 2y;2z = 4x`
`=> x/2 = y/3; z/4 = x/2`
`=> x/2 = y/3 = z/4 (ĐPCM)`
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