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Monday, November 18, 2013

SP #5 Unit J Concept 6: DECOMPOSING TERRAWR

HOW TO DO THIS 101
The equation is next to 1) and we are "decomposing" it accordingly. The decomposition is shown to the right of the equation. Bottom of that is me showing the process of getting a common denominator. Basically multiply other factors in order to have the same thing on the bottom. Multiply, exponentiate, etc. correctly and then you will result in a long list of terms, ignoring the bottom terms. Afterwards, add like terms, setting the list equal to the numerator of the original equation. After canceling common terms, such as x and x^2, you will find yourself with 4 sets of equations. Those equations will result in a 5x4 system of equations.


In the bottom picture, after we inputted the equation into the calculator (you should be able to do this) we will find fractions as answers. Now we have to manually solve these by elimination. Let's add the first two equations together and multiply the third equation by 2.Add the third equation and the fourth equation together and now we have two equations to work with. Multiply the resulting equation from adding the first and second together by 4 so we can cancel out 4C as shown below.Below that is how we cancel B when we used the first equation in the above picture. We then find A and plug that in to find B and then vice versa. The bottom left is the answer. This question was ezpz.




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