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Handout Monday, 8/25
Today we will introduce the class and work on the first activity, Algebra, Abstracted.
But first, solve for \(x\text{:}\)
\begin{equation*}
x^5 - 10x + 2 = 0\text{.}
\end{equation*}
Our goal this semester is to at least try to understand why you cannot.
But first, we need to step way way back to some basics. Let’s study operations and how they impact solving equations.
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Notice how the operation tables work. These are called Cayley tables.
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For the second group of tasks, you can try to solve these by guess and check, but what if you wanted to use the regular rules of algebra? What is required.
