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I learned about:

-determining if a quadratic equation has extraneous root and solving it
-solving rational algebraic equations and expressions by finding the lcd or etc
-transforming equations into quadratic forms and solving word problems

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I have learned about the use of extraneous root. We also discussed about the rational algebraic equations and talked about the rational algebraic expressions.

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I learned ...
- How to identify extraneous roots.
- How to transform an equation to general form.
- How to find the roots of the equation.

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In today's discussion, I have learned about the steps transforming equations into quadratic forms. I have also learned how to apply it in word problems.

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I learned about how to Identify the extraneous solution of the equation. Solve word problems involving quadratic equations. Furthermore, I learned on how to find the roots of the equations including rational algebraic equations transformable to quadratic forms

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I learned...
-how to determine extraneous roots
-transforming equations to standard quadratic forms
-how to solve word problems

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I learned the steps of solving equations transformable to quadratic form. It is a bit confusing and the solutions are long but with a little bit of practice, I think I can understand it.  I also learned about the extraneous roots. From what I remember, extraneous roots are roots that does not satisfy the equation when substituted. I learned solving rational algebraic equations (finding lcd) and learned that the past math lessons shouldn't be forgotten because it is connected to this lesson.

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When do you use brackets and parenthesis when writing the equations?

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In today’s lesson, I learned more about how to transform equations into quadratic equations. Additionally, I discovered what extraneous roots are and how to identify them. Lastly, I learned how to solve rational algebraic equations into quadratic equations and solve them in word problems.

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How to solve complicated word problems
How to solve problems efficiently

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I learned about
1. Transforming equations into quadratic forms.
2. Extraneous roots.
3. Solving word problems involving equations transformed to quadratic forms.

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I discovered...
-How to Identify Extraneous Roots
-converting equations to their standard quadratic forms
-how to solve word problems

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How to find the LCD?

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How to factor quadratic equations quickly

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I gained more knowledge about how to convert equations into quadratic equations in today's lesson. I also learned how to recognize extraneous roots and what they are. I learned how to convert rational algebraic equations into quadratic equations and answer them in word problems.

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Today, I discovered and learned how to identify the extraneous roots of an equation, transform equations into standard quadratic forms, and to solve rational algebraic equations. The lessons were challenging to my mind since I had to carefully analyze each equation. But, the activities given to us making the discussing very engaging.

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I've learned about using extraneous root. I've also learned how to solve word problems. Furthermore, we talked about rational algebraic equations. In addition, I learnt how to solve rational algebraic equations.

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Today's lesson taught me how to convert equations into quadratic equations. Moreover, I also learned how to identify and recognize extraneous roots. Ultimately, I learned how to solve word problems by converting rational algebraic equations to quadratic equations.

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I discovered how to solve equations that can be transformed into quadratic form. Even though I was having a hard time understanding, I will try my best to study this topic in my spare time. The most prominent factor in today's class was my increased understanding of how to convert equations into quadratic equations. I also learned how to identify and describe superfluous roots. I learned how to solve word problems by converting rational algebraic equations to quadratic equations.

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I learned about extraneous root and how to solve word problem, and rational algebraic expressions and equations.

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All in all, my knowledge has been enriched due to the learnings regarding the topic of transforming equations into quadratic forms. I learned the four steps on how to solve equations transformable to quadratic form, utilizing the variables u and/or u^2. I now know how to understand and find the solutions to word problems related to real-life situations as well. I learned about extraneous roots which are roots obtained through solving, but when substituted, does not satisfy the equation; this is vital to know more about, for it tells us what are the real roots of an equation. The same can also be said about my learnings on rational algebraic equations, which simply consist of one or more rational algebraic expressions.

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I learned that there are equations that are not quadratic but can be transformed into one and how to solve them. I also learned that there are roots that we can obtain but do not satisfy the equation when we substitute them, and these are known as extraneous roots. Furthermore, I was glad we were taught how to solve real-life word problems related to our topic for today's lesson, as we had not been taught about how to solve word problems in previous discussions since the first quarter. Finally, in today's lesson, I was able to refresh my memory on rational algebraic expressions and how to solve them. Overall, I liked how the teachers carefully imparted their knowledge to us and explained the complex concepts as simply as possible.

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When presented with an unfactorable equation or an equation which still has the square root sign during the process of renaming the variables(using u and or u^2), is it possible for one to find the values that satisfy an equation? If so, how?

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In today's lesson, I learned about what an extraneous root is. I learned that it is a root that is obtained from the equation. Although it is a root, when it is substituted into the equation, it doesn't make the equation true. Furthermore, I also learned how to solve word problems that involved extraneous roots. Another thing I learned is how to solve rational equations that can be transformed into quadratic equations. The last thing I learned was how to solve word problems involving rational algebraic equations that had been transformed into quadratic equations.

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I learned that there are equations that are not quadratic but can be transformed into one along with the steps in solving these equations. Additionally, I have discovered what extraneous roots are. Besides that, I have also learned how to solve word problems involving equations and rational equations transformed into quadratic form.

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I've learned how to transfer equations to make them quadratic. I have also learned how to solve rational equations and identity the extraneous roots. To add to that, I've been taught how to solve word problems regarding the said topics.