Question about Texas Instruments TI-82 Calculator

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Posted on Jan 02, 2017

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SOURCE: How do I solve a polynomial equation:

Hello,

Sorry, but what you wrote is not an equation but a polynomial expression. You want to solve the equation x^4+5x^3-3x^2-43x-60 =0.

The solve( command, can only be used with real numbers.

The** solve(** is available through the CATALOG :
[2nd][CATALOG], scroll down till you reach the command. Highlight it
and press [ENTER]. The command echodes on main screen as **solve(** .

You
complete the command by entering the expression (not the equation), the
name of the variable you solve for, the initial guess , and { lower
limit, upper limit} between curly brackets, and the closing parenthesis.

Exemple:**solve (x^4+5x^3-3x^2-43x-60 ****, x,0 {-5,0} ) [ENTER]**

should give you the negative root,**solve (x^4+5x^3-3x^2-43x-60 ****, x,0 {0,5} ) [ENTER]**

should give you the positive root.

It
is implied that the expression is 0, so you should not
insert =0, otherwise you get an error. Here for the lower limit is -5 you
must use the change sign symbol (-) under the 3 key, not the regular
MINUS.

You may ask how I knew that there were two roots when the equation is a quartic? By first graphing it to have an idea about where the roots lie and how many there are. You should always do that to speed up the search.

There is another way to zoom in on the roots: by drawing the graph and using the tools accessible under the [2nd][CALC] menu, namely the option [2:Zero]

The resolution of the TI83/84 is not good enough for this function that grows too fast, but I am inserting a picture of the curve from another calculator with a much better resolution.

Hope it helps.

Posted on Oct 18, 2009

This simple scientific calculator does not factor polynomials. Get a calculator with a Computer Algebra System.

Jun 11, 2014 | Texas Instruments TI-30XA Calculator

The polynomial cannot be factored in the set of Real numbers: The roots of the polynomial equation are complex.

You should use the command**cFactor(** found under F2:Algebra> A:Complex>2:cFactor(

However, you should set the Mode Complex>Rectangular, and the EXACT/APPROXIMATE mode to Exact, otherwise your roots will be in decimal representation.

You should use the command

However, you should set the Mode Complex>Rectangular, and the EXACT/APPROXIMATE mode to Exact, otherwise your roots will be in decimal representation.

Jan 01, 2014 | Texas Instruments TI-89 Calculator

The TI-84 does not have a built-in quintic fit.

The most common scheme for fitting a model to data is the least squares. You'll find several programs to calculate this here.

The most common scheme for fitting a model to data is the least squares. You'll find several programs to calculate this here.

May 24, 2012 | Texas Instruments TI-84 Plus Calculator

You can do it two ways.

**Graphically:**

Open the graph utility, enter a function y1= expression(x) where expression(x) is the polynomial. Graph the function y1(x). Play with the window dimensions to display the interesting part of the graph. You can then see if there are any zeros (roots).

While the graph is displayed, press SHIFT F5 (G-Solv). Press F1:Root to look for a root. Read the value of the root at the bottom of the screen (to the left).

**Solve utility**

Open the QEquation solver, select F2:polynomial, or F3: solver.

The polynomial solve can solve polynomial equations up to degree 6.

The solve solve polynomial and any other type of non algebraic equations

Open the graph utility, enter a function y1= expression(x) where expression(x) is the polynomial. Graph the function y1(x). Play with the window dimensions to display the interesting part of the graph. You can then see if there are any zeros (roots).

While the graph is displayed, press SHIFT F5 (G-Solv). Press F1:Root to look for a root. Read the value of the root at the bottom of the screen (to the left).

Open the QEquation solver, select F2:polynomial, or F3: solver.

The polynomial solve can solve polynomial equations up to degree 6.

The solve solve polynomial and any other type of non algebraic equations

Mar 16, 2012 | Casio CFX 9850GA Plus Calculator

That depends on the order of the polynomial. If the polynomial is of second order, the quadratic formula will give you its roots. There are similar formulae for third, fourth, and fifth order polynomials, and it has been proven that no such formulae exist for higher-order polynomials.

Some TI calculators have a numerical solver which can produce numerical solutions to arbitrary polynomials. Since you declined to specify the model of your calculator, I'm afraid I can't tell you whether yours has one or not.

If you need further assistance, please reply to this post and be sure to specify the model of your calculator.

Some TI calculators have a numerical solver which can produce numerical solutions to arbitrary polynomials. Since you declined to specify the model of your calculator, I'm afraid I can't tell you whether yours has one or not.

If you need further assistance, please reply to this post and be sure to specify the model of your calculator.

Feb 12, 2012 | Texas Instruments Office Equipment &...

There are an infinite number of polynomials with those roots. Assuming you want one with the lowest degree, here are two:

x^3 - 2x^2 - 5x + 6

2x^3 - 4x^2 - 10x + 12

Since the roots of the polynomials are -2, 1, and 3, the values (x+2), (x-1), and (x-3) must be zero.

To get these polynomials, simply multiply

k * (x+2) * (x-1) * (x-3)

where k is any nonzero value.

x^3 - 2x^2 - 5x + 6

2x^3 - 4x^2 - 10x + 12

Since the roots of the polynomials are -2, 1, and 3, the values (x+2), (x-1), and (x-3) must be zero.

To get these polynomials, simply multiply

k * (x+2) * (x-1) * (x-3)

where k is any nonzero value.

Oct 03, 2011 | Texas Instruments TI-84 Plus Calculator

One way is to use the Polynomial Root Finder and Simultaneous Equation Solver app.

Press the APPS key, then select PlySmlt2 and press ENTER. Press ENTER to get past the opening screen, then select "POLY ROOT FINDER" and press ENTER. Select the order of the polynomial and other settings as desired. Press F5 (the GRAPH key) to go to the next screen. Enter the polynomial coefficients, then press F5 to solve. The next screen will show you the roots (unless you selected real roots and the polynomial doesn't have any real roots).

If you don't have the app installed, you can download it from

http://education.ti.com/educationportal/sites/US/productDetail/us_poly_83_84.html

Press the APPS key, then select PlySmlt2 and press ENTER. Press ENTER to get past the opening screen, then select "POLY ROOT FINDER" and press ENTER. Select the order of the polynomial and other settings as desired. Press F5 (the GRAPH key) to go to the next screen. Enter the polynomial coefficients, then press F5 to solve. The next screen will show you the roots (unless you selected real roots and the polynomial doesn't have any real roots).

If you don't have the app installed, you can download it from

http://education.ti.com/educationportal/sites/US/productDetail/us_poly_83_84.html

Jan 20, 2011 | Texas Instruments TI-83 Plus Calculator

Having gone over a month with no response, I assume it was just a contrast problem, solved by my suggestion.

Aug 14, 2010 | Texas Instruments TI-82 Calculator

Unfortunately there is no single "correct" set of window parameters. It depends on the particular polynomial.

Consider this: after you get a good plot of a polynomial, try plotting another polynomial derived by dividing all of the coefficients by a million. If you plot it using the same settings, the graph will be indistinguishable from the X-axis.

Consider this: after you get a good plot of a polynomial, try plotting another polynomial derived by dividing all of the coefficients by a million. If you plot it using the same settings, the graph will be indistinguishable from the X-axis.

Feb 03, 2010 | Texas Instruments TI-84 Plus Calculator

You can get the manuals here http://www.retrevo.com/support/TI-TI-82-Calculators-manual/id/421ci253/t/2/

Oct 09, 2009 | Texas Instruments TI-82 Calculator

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