Question about Texas Instruments TI-84 Plus Calculator

# I need to input possible rational roots into my calculator to find which ones actually work in the equation, can't figure it out. No table will let me add input.

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Posted on May 12, 2009

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## Related Questions:

### How do i calculate my rational equations using my casio fx-115es for example x/8=8/x

You do not need a calculator for this proportion.
For a proportion a/b=c/d, the product of the extrems (a*d) is equal to the product of the means (b*c).
In your case x*x=8*8 or x^2=64.
The two solutions are x=+square root (64) or x=-square root(64).

For a less trivial equation, you can use the solve feature of the FX-119ES. To do so, use the ALPHA keyboard to enter your equation; once the equation is typed in, do not press the main equal sign, but the Solve key (the key is located near the top left corner of the keyboard). You will be prompted to solve for X?.

Feb 24, 2012 | Casio FX-115ES Scientific Calculator

### Example of rational equations

Hi mavekae,
There are lot of examples of rational equations on this website, kindly follow the link below:
http://www.tutor-homework.com/Math_Help/college_algebra/m3l2notes1.pdf

Hope it helps,
Thank you for using fixya.

Sep 26, 2011 | Office Equipment & Supplies

### Solving linear equations in 3 variables by matrix method in casio fx-115ES

Press key Mode, first select option 5:EQN (by pressing key 5), then option 2: a_nX+b_nY+c_nZ=d_n (by pressin 2).
Now input coefficients from equations in table (each column is for one variable), just type in number and press =, then use arrows to move to another cell.

Sep 02, 2011 | Casio FX-115ES Scientific Calculator

### Can you factor quadratic equations on the Casio fx-11ES? If yes how?

Press MODE 5 to bring up the equation types. Press 3 for the quadratic. Enter the three coefficients. Press = to see the first root. If the display shows x1 then press down to see the other other root. If the display only shows x then that's a double root. Given the two roots x1 and x2, the factors of the quadratic are (x-x1) and (x-x2).

Refer to "Equation Calculations" on page E-55 of the manual and examples #094 and #095 in the appendix for examples of solving quadratic equations. If the you need the manual and/or appendix, you can download them from
http://support.casio.com/manualfile.php?rgn=1&cid=004001004

May 11, 2011 | Casio FX-115ES Scientific Calculator

### How do I enter (simple step-by-step please) the quadratic equation into this model of calculator?? Thanks.

The TI-30XA does not offer any symbolic algebra or equation solving functions. You will need to do some work on paper. However, its not super difficult.

Solving quadratic equations (finding the roots) involve three steps:
1. Simplify the equation and bring into the normalized form x² + px + q = 0.
2. Determine the discriminant D = p² - 4q and check if there are two, one or no solutions at all.
3. Calculate the root(s), if any.
Lets do (1) with an example, 3x - 2 = ( 6 + x ) / x.

You should exercise this simplification with different examples until you can do it in your sleep. The goal is to get a form x² + px + q = 0, where in the above example case, p = -1 and q = -2.

Now, use the memory places #0 and #1 to store p and q, as in:

-1 [STO] 0
-2 [STO] 1

Next, you should determine the discriminant D = p² - 4q of the equation using your TI-30XA calculator. Having put the two values into the memory comes in handy here:

[RCL] 0 [x²] [-] 4 [x] [RCL] 1 [=] [STO] 2

Note, we put D into memory place #2, we will need it again later.

Now check the displayed value D:
• if D
• if D = 0, there is exactly one solution: -p / 2. Key in [RCL] 0 [+=-] [÷] 2 [=] and the displayed value is the only solution to the quadratic equation.
• if D > 0, there are exactly two solutions:

Key in [RCL] 0 [+=-] [+] [RCL] 2 [] [=] [÷] 2 [=] to get the first root, and
[RCL] 0 [+=-] [-] [RCL] 2 [] [=] [÷] 2 [=] for the second root.
In the example, the discriminant turns out to be 9, which is greater than 0, so there are two different roots. Following the key sequences you should get the roots x1 = -1 and x2 = +2. You can double check by calculating

and you'll receive the original, normalized equation.

As an exercise for your understanding: you can save a few keystrokes by saving -p to memory #0 instead of p. Try to figure out why this helps.

Feb 11, 2011 | Texas Instruments TI-30XA Calculator

### In complex number mode, how to get out?

You are making an assumption that is unwarranted.Namely that a cubic equation must necessarily have 3 real roots. This is not the case.

If coefficients are complex you should expect some complex roots. Right?
If the coefficients are REAL then depending on the discriminant

you can have three cases
DELTA positive : three distinct real roots
DELTA=0 , the equation has a multiple root and all roots are REAL
DELTA negative: the equation has ONE real root and 2 complex roots that are complex conjugate of each other.

It suffices to look at the Tartaglia/Cardano expressions of the roots to know that more often than not there is going to be complex roots.

May 05, 2010 | Casio CFX-9850G Plus Calculator

### Getting to and/or creating a table from an entered equation

Press the TABLE key (to the right of the GRAPH key), then press F1 to select "TABLE".

Mar 29, 2010 | Texas Instruments TI-85 Calculator

### Solver mode in equations part of calculator

Your Solver is a numerical solver not a symbolic one. You have to supply an initial guess at a solution and the Solver finds it. If you suspect, or know, that there are others jut run the solver again supplying the initial guess for each additional solution.
One easy way to locate the roots of an equation is to draw the function (without =0) and see on the graph the approximate values of x where the function vanishes. These approximate values of the roots can be used as initial guesses in the Solver.

Nov 20, 2008 | Casio FX-9750GPlus Calculator

### Finding Rational Zeros of Polynomials on a Casio FX-115 Sci. Calc.

I'm not sure how to do x4,
but from -5x3 and on yes. Mode-5-4, and insert coefficients.

Here the solution:
1. 1.927
2. -0.413
3. -2.514

Nov 08, 2008 | Casio FX-115ES Scientific Calculator

### Entering a cubed root into a ti-83 plus

You can enter any root by typing the number, then hitting MATH and 5, which brings up the root symbol with the x in front of it: x√. So the fifth-root would be 5 -> MATH -> 5 and then whatever number you want to get the fifth-root for: 5x√10 for example. As someone else had mentioned, you can also raise it to a rational power: 3^(1/3) which would be the same as the cubed root of 3, but you could also type: 3 -> MATH -> 5 -> 3 and get the same answer, but looking like this in your calculator: 3x√3. The option for 4 actually is a predefined cubed-root, and the one for option 5 there is the root symbol that can be used with any number before it to get any root you want. There are no parenthesis as you get when using the predefined square-root and cubed-root functions, though, so you may want to type them in yourself if entering a long string of operations in the calculator at one time to make sure the calculator doesn't include numbers under the root that you don't want it to. But I guess it depends on preference in terms of what method you choose between the rational exponents or the root symbol (and most would go with whichever seems easiest and quickest to enter), but you asked specifically how to get the cubed-root on the TI-83 Plus, so there's my best attempt at answering your question.

Aug 22, 2008 | Texas Instruments TI-83 Plus Calculator

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