Fibonacci Haiku: EXO

EXO

Oppas

Korean Chinese

I Love Them

Best Album Of The Year

I Am So Proud Of My Twelve Oppas

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SP #5: Unit J Concept 6: Partial Fraction Decomposition with Repeated Factors

The viewers need to make sure to multiply the denominators by the right factors or else the equation will not be correct. The viewers all need to separate each grouping correctly because you will later on take out the variables and if something is missing or out of place, your equation will be wrong. Using a matrix to show your work would be to much of a hassel so instead we use substitution and canceling to find one of the variables. After doing that, the viwers should remember to subsitute their answers for the variables into the equation to find the other vairables. After getting all the variables, you plug it in the original equation "A/(x-2) + B/(x+1) + C/(x+1)^2 + D/(x+1)^3" and that will be your answer.

SP #4: Unit J Concept 5: Partial Fraction Decomposition with Distinct Factors

     The viewers need to keep in mind that the first part of the equation is composing and the second part is decomposing. The second picture shows the initial matirx and the third pictures shows the reduced matrix. The viewers need to pay speacial attention to which category goes with which and to make sure they multiply the factors correctly. The viewers need to make sure that if the variable is not there, they need to put a zero in its place, because later on when we cancel the variable, we need to know what the remainders are to put it in the new equation. To check if your answer is correct, you can plug it in your calcultor by using "rref" and if the numbers match from your original equation, then you did it correctly. Also, make sure you group them correctly and a tip for that is using different colors to make sure you get everyone you need.

SV #5: Unit J Concepts 3-4: Matrix-Gaussian Elimination

     Viewers need to pay special attention to where each variable belongs in each of their spots. Some variables are missing so try not to forget to put a zero in their place or your whole equation will be wrong. Also, to make your life easier, if you factor a common number then you will be dealing with smaller numbers, making it easier for you to do the equation and not make a mistake. Viewers also need to remember that they must get triangular zeroes and stair step ones in their matrix, if you forget this tip, your whole equation will be wrong and you can get "no solution-inconsistent" as your answer which will be wrong. To help you make sure you got the right answer, you use the Gauss-Jordan Elimination system in your calculator to make sure your points are correct. I would highly recommend the Gauss-Jordan Elimination system if you have a graphing calculator so you know what you should get at the end as your answer. Thank you for watching!

     P.S. For those who voted for EXO at the EMA's, I would like to say thank you for supporting my oppas. 사랑해 EXO!