After being rearranged and simplified, which two of the following equations could be solved using the quadratic formula?

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What component in a circuit does this symbol represent?


Polynomial equations that can be solved with the quadratic formula have the following properties, assuming all like terms have been simplified.
1. degree = 2 (i.e. the highest power equals exactly two)
2. the linear term (e.g. 4x, or -5x…) and constant term (e.g. 5, -30, pi, etc.) may or may not be present.

Now let’s simplify and examine the given equations, and see if each can be solved with the quadratic formula:

The degree (highest power) is three, so it is not “exactly two”. NO.


The degree (highest power) is two, so it is “exactly two”. YES.


The degree (highest power) is one, so it is not “exactly two”. NO.


The degree (highest power) is two, so it is “exactly two”. YES.

Note that it is very important to simplify the equations before checking the degree.

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If you need further explanations, please feel free to post in comments.

They may hopefully assist the student resolve the question by making use of the questions and answer examples. Then will be able to make some sharing in a group discussion and also study with the classmate with regard to the topic, so another student also ought to have some enlightenment and still keeps up the school learning.

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