Question

X+1/2014+x+2/2013=x+3/2012+x+4/2011

Answer 1

x+1/2014 + x+2/2013 = x+3/2012 + x+4/2011

=> x+1/2014 + 1 + x+2/2013 + 1 = x+3/2012 + 1 + x+4/2011 + 1

=> x+2015/2014 + x+2015/2013 = x+2015/2012 + x+2015/2011

=> x+2015/2012 + x+2015/2011 - x+2015/2013 - x+2015/2014 = 0

=> (x + 2015).(1/2012 + 1/2011 - 1/2013 - 1/2014) = 0

Vì 1/2011 > 1/2013; 1/2012 > 1/2014

=> 1/2012 + 1/2011 - 1/2013 - 1/2014 khác 0

=> x + 2015 = 0

=> x = -2015