一元二次方程x2+x﹣6=0的根的情況是（　　）                               ...

問題詳情：

一元二次方程x2+x﹣6=0的根的情況是（　　）                                                    

A．有兩個相等的實根       B．沒有實數根                                                          

C．有兩個不相等的實根    D．無法確定                                                             

【回答】

C【考點】根的判別式．                                                                                     

【分析】由根的判別式△=b2﹣4ac，即可判定一元二次方程x2+x﹣6=0的根的情況．                  

【解答】解：∵△=b2﹣4ac=12﹣4×1×（﹣6）=25＞0，                                             

∴有兩個不相等的實根．                                                                                    

故選C．                                                                                                             

知識點：解一元二次方程

題型：選擇題