错误的认识的英文

mistakenly thought, 具体看你句子的时态是什么，一般就是一般过去时

admit one's mistake 单词貌似没有

Mistakes Mistakes and errors are the discipline through which we advance in life.Mistakes are great teachers. Success comes to those who are willing to risk making mistakes in the pursuit of their goals and aspirations, and who are able to learn from those mistakes. And in order to learn from mistakes you must be willing to pay for them. Mistakes can be enormously valuable but when you look to others to pay for your mistakes, then you deprive yourself of the opportunity to learn from them. When something goes wrong, it's usually very easy to find someone else to blame.But what does that really accomplish? When you make a mistake, the last thing you want to do is run from it. Rather, accept it. There is much value to be had when you claim it. The mistake has been made, so make the most of it. Pay the price, learn the lesson, and grow that much stronger. 谢谢

appolgize v. I appoligized to him yesterday.昨天我向他认错了。

如果你能在汉语上给我些思路的话，我可以帮你写：）