x-3/2011+x-2/2012 bằng x-2012/2+x-2011/3 19/09/2021 Bởi Valerie x-3/2011+x-2/2012 bằng x-2012/2+x-2011/3
`(x-3)/2011+(x-2)/2012 = (x-2012)/2+(x-2011)/3``<=> ((x-3)/2011-1)+((x-2)/2012-1) = ((x-2012)/2-1)+((x-2011)/3-1)``<=> ((x-3-2011)/2011) + ((x-2-2012)/2012) = ((x-2012 -2)/2) + ((x-20113)/3)``<=> (x-2014)/2011 + (x-2014)/2012 = (x-2014)/2 + (x-2014)/3``<=> (x-2014)/2011 + (x-2014)/2012 – (x-2014)/2 – (x-2014)/3 = 0``<=> (x-2014) . (1/2011 + 1/2012 – 1/2 – 1/3) = 0``<=> x-2014 = 0 (do\ 1/2011 + 1/2012 -1/2 -1/3 \ne 0)``<=> x = 2014` Vậy phương trình đã cho có nghiệm ` x=2014` Bình luận
`(x-3)/2011+(x-2)/2012 = (x-2012)/2+(x-2011)/3`
`<=> ((x-3)/2011-1)+((x-2)/2012-1) = ((x-2012)/2-1)+((x-2011)/3-1)`
`<=> ((x-3-2011)/2011) + ((x-2-2012)/2012) = ((x-2012 -2)/2) + ((x-20113)/3)`
`<=> (x-2014)/2011 + (x-2014)/2012 = (x-2014)/2 + (x-2014)/3`
`<=> (x-2014)/2011 + (x-2014)/2012 – (x-2014)/2 – (x-2014)/3 = 0`
`<=> (x-2014) . (1/2011 + 1/2012 – 1/2 – 1/3) = 0`
`<=> x-2014 = 0 (do\ 1/2011 + 1/2012 -1/2 -1/3 \ne 0)`
`<=> x = 2014`
Vậy phương trình đã cho có nghiệm ` x=2014`