![]() In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the amount set forth in the license for the program. ![]() Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. Z 202 Symbols 210 TI-Nspire™ CX II - Draw Commands 236 © 2020 Texas Instruments Incorporated Actual products may vary slightly from provided images. Improved Error Messages for TI-Basic 257 Constants and Values 260 Error Codes and Messages 261 Warning Codes and Messages 269 General Information 271 Iii Empty (Void) Elements 251 Shortcuts for Entering Math Expressions 253 EOS™ (Equation Operating System) Hierarchy 255 TI-Nspire CX II - TI-Basic Programming Features 257Īuto-indentation in Programming Editor 257 Invalid Commands While in Graphics Mode 238 Service and Warranty Information 271 Index 272Įxpression templates give you an easy way to enter math expressions in standard mathematical notation. When you insert a template, it appears on the entry line with small blocks at positions where you can enter elements. A cursor shows which element you can enter. Position the cursor on each element, and type a value or expression for the element. Note: Type the first value, press l, and then type the exponent. To return the cursor to the baseline, press right arrow ( ¢). Here's to a Happy and Safe New Years Celebration and to a kick ass 2013! To my readers, I get such pleasure from writing on this blog, and fully appreciate each and every one of you.Square root template /q keysĮxpression Templates 1 Nth root template /l keysĬalculates log to a specified base. (Where N is the set of natural numbers (counting numbers). The set can include or not include zero, depending in the definition used. One great thing about Casio graphing calculators is that you can make mini-programs. On the current generation (fx-9860g II, Prizm, this includes the older models), within the RUN/MAT mode set the calculator in Linear Input mode. Type each command as you would entering commands in Program mode. I will post screen shots from a Casio Prizm to demonstrate the search for solutions.įor each case, I will present base cases (A = 0, B = 0, and A = B = 0). Then solving for A would yield A = √(X³ - B²). The integer function returns the integer part of a number. Example: int(π) = 3.īelow is the instructions on how I found possible solutions on the Casio Prizm. Note I am looking for integer solutions, ignoring all solutions that were not natural numbers.įor the following let a, b, and n ∈ N. That is all variables are natural numbers (the counting numbers). ![]() Note that the set of natural numbers may or may not include 0. This blog entry is all about trying to find solutions to equations - in an analytic manner. The only way that 1/(b - 1) ∈ N is when b = 2. Let's start with subtracting a*b from both sides: What if we allow the possibility that a ≠ b? The only solution to a + b = a * b is a = b = 2. This lead me to believe that b is a multiple of a. Not good for searching for solutions such that a,b ∈ N.Ī = (b ± √(b^2 - 4b^2))/2 = (b ± i b √3)/2 = b * (1 ± i √3)/2 which is not a natural number. If a = 6, then a^2 - 4a = 12, not a perfect square. If a = 8, then a^2 - 4a = 32, not a perfect square. If a = 10, then a^2 - 4a = 60, not a perfect square.
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