Week 5 – Solving Radical Equations

This week I learned how to solve radical equations.

Here is a common question:

This question asked me if the equation had a real root. First I used algebra to solve for x. Then I determined what were the restrictions on x and when I did this I had to switch the more than or equal too sign to the other side because the coefficient was negative. After I just had to plug in -2 for x in the equation so I could check the answer. I determined this equation had a real root.

Week 4 – Adding and Subtracting Radical Expressions

This week I learned how to add and subtract radical expressions.

This is a question I was stuck on:

In simplifying this problem you need to add together all the sides of the shape formed. When doing this you need to first simplify \sqrt{50} and then \sqrt{24}. Then you add the common radicands together to simplify the problem. I had trouble realizing that the roots were the values for the sides of the shape.

Week 2 – Geometric Sequences

This week I learned about geometric sequences.

Here is a common question:

In solving this problem you first need to find “R” by using the formula \frac{t_2}{t_1}. Once you have found “R”, you can input all the values you have into the formula t_{n}=ar^{(n-1)}. Using BEDMAS go step by step to find your answer.