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1 问题的提出公式｜ｘ1 -ｘ2 ｜=(ｘ1 +ｘ2 ) 2 - 4ｘ1 ｘ2 是实数集上恒成立的一个重要公式 ,在解析几何和代数等学科中都有广泛的应用 .但是该公式在复数集中是否成立呢 ?请看下面一例 :例 1 设ｘ1 、ｘ2 是方程ｘ2 -ｘ+ｔ =0的两个虚根 ,且 ｜ｘ1 -ｘ2 ｜ =3,求实数ｔ的值
1 The proposed formula for the problem |x1 -x2 |=(x1 +x2 ) 2 - 4x1 x2 is an important formula for the establishment of a constant on a real number set. It has a wide range of applications in analytical geometry and algebra and other disciplines. But the formula is in the plural If the concentration is established, look at the following example: Example 1 Let x1 and x2 be two imaginary roots of the equation x2 -x+t =0, and |x1 -x2 | =3, find the value of real number t