已知关于的方程（的两根之和为，两根之差为1，其中是△的三边

已知关于的方程（的两根之和为，两根之差为1，其中是△的三边长．

（1）求方程的根；

（2）试判断△的形状．

答案

解：（1）设方程的两根为，

则

解得

（2）当时，，

所以.

当时，

所以.

所以.所以△为等边三角形．

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已知关于的方程（ 的两根之和为，两根之差为1，其中是△的三边

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已知关于的方程（的两根之和为，两根之差为1，其中是△的三边