关于x的方程
,当m取何值时,此方程是一元二次方程?并求出此方程的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed72dbd406242e38d90259cbf091d87.png)
更新时间:2023-05-14 09:35:11
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解答题-问答题
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适中
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【推荐2】判断下列关于
的方程,哪些是整式方程?这些整式方程分别是一元几次方程?
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e95ca38ccbd0c02c209eacc00a2f9b5.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adb380de99e7481c4c15ace1ab6f136.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265e5b2842fa75d2bc730044133a0004.png)
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6698939f73b4c8cc2e86dc0ff77221.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e95ca38ccbd0c02c209eacc00a2f9b5.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adb380de99e7481c4c15ace1ab6f136.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265e5b2842fa75d2bc730044133a0004.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6698939f73b4c8cc2e86dc0ff77221.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319bd6a9d0bc496b7f116de30fc27edd.png)
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解答题-问答题
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适中
(0.65)
【推荐2】阅读题:解方程
.
解:(1)当
时,原方程为
,配方得
,
两边平方得
,∴
,
(不符合题意,舍去);
(2)当
时,原方程为
,配方得
,
两边开平方得
,∴
,
(不符合题意,舍去),
∴原方程的解为
,
.
参照上述例题解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0daf109e5ce59cfcefe566d2444bed.png)
解:(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffa6a8471c126c4c6b789490d84144b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fc8d8be1390b7f109e28347d27adf6.png)
两边平方得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586b1f1703a2c62161d1b1899f34c18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb0b007211f6c93ffff1ea92f2c546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9022b9c5b0edd38748bb21a9cdba6e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e48d2128193bc634d794abca5e2fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f4f4cbdb233869d5a7be04359d001e.png)
两边开平方得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffd267b96715e5bfeb8d02bd6c1c1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c0da9cc07dab68d549db83b41b1adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204e5160ff110a19878e4fae639319e4.png)
∴原方程的解为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbb0b007211f6c93ffff1ea92f2c546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1ce999bed31376107311fd552fd15f.png)
参照上述例题解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae8e76bbd79082905b2bb4a7ac82064.png)
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