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对于一元二次方程ax~2+bx+c=0 (a≠0),如果a+b+c=0.那么x=1是这个方程的解.运用这一简单结沦可以巧妙解决一类竞赛题.例1设方程2004~2x~2-2003·2005x-1 =0的大根为a,方程x~2+2004x-2005=0的
For a quadratic equation ax~2+bx+c=0 (a≠0), if a+b+c=0, then x=1 is the solution of this equation. Using this simple knot can be a clever solution to a class Competition questions. Example 1 Let the large root of the equation 2004~2x~2-2003*2005x-1 =0 be a, and the equation x~2+2004x-2005=0.