M = (x2 + 3x2 + 5x2 +...+ 2015x2 ) - (2 + 4 + 6 +...+ 2016)
= (1 + 3 + 5 +...+ 2015)x2 - (2 + 4 + 6 +...+ 2016)
Ta có:
1 + 3 + 5 + ...+2015 = (1 + 2015).2015 : 2 = 1008.2015
2 + 4 + 6 +...+2016 = (2+ 2016).1008 : 2 = 1009.1008
=> M = 1008.2015.x2 - 1009.1008 = 0
=> x2 = \(\frac{1009}{2015}\)=> x = \(\sqrt{\frac{1009}{2015}};-\sqrt{\frac{1009}{2015}}\)
Vậy......