Partial Fractions Decomposition 4 on TI-89
This is a video from EveryStepCalculus.com demonstrating how my programs work on a TI 89 Titanium calculator and other calculators in a TI system for physics and calculus problems.
Okay, partial fraction decomposition. All my programs work on, many people have asked for that so I programmed it. Um, to get to my menu you have two press second Alpha to put I_N_D_E_X. This is a calculus two and three Series and then you have to press Alpha again to put the 9 in the open and close parentheses and press Enter and then your into my menu.
I’m already at partial fractions here all are alphabetical you scroll down to it. Choose that, press Enter, give an example with what it should look like. When you enter it you have to press Alpha before you enter anything in these empty lines here.
Going to go Alpha for quantity, you have to use parenthesis now. We’re doing quantities in numerators and quantities in denominators. So the quantity X squared plus 8 divided by quantity X squared minus 5 times X plus six now you want to do this without from memory without my programs be my guest.
I always show you what you’ve entered, so you can change in case you made a mistake I say it’s okay and the first thing you do is factor the denominator which is this. You write this on your paper exactly as you see it and so the numerator is equal to these but put the a and b partial fractions in. You multiply it times the common denominator. Actually this is on the other side to x squared plus eight over this amount but when you multiply it out it cancels and x squared plus 8 equals a times X minus 2 plus b X minus 3.
You choose a number that will cancel the one of them, so you can solve it and you choose 2 so you got your, these in quotation marks are entered for the x’s x squared plus 8 here’s 2 minus 2 etcetera. You write that on your paper. I show you what the answer is and you work it out and you come up with b minus 12. And you write down on your paper, that x equals three.
Mark that into the equation and it equals this and then you work out the computations in a equals 17 so the partial fractions 17 over x-3 plus -12 or x-2.
Pretty neat huh, EveryStepCalculus.com go to my site by my programs and pass calculus.