Question about Texas Instruments TI-89 Calculator

When I try to use the factor function on a quadratic equation with imaginary roots, the calculator returns the original function instead of the imaginary roots.

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Posted on Jan 02, 2017

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Oct 04, 2016 | Casio FX-9750GII Graphing Calculator

The calculator cannot do symbolic algebra. If equation is aX^2+bX+c=0, write it in the form a(X^2+(b/a)X+(c/a))=0 and solve the quadratic equation X^2+(b/a)X+(c/a)=0. Get the approximate roots X1, and X2 (if they exist) and write your original equation in the for

a(X-X1)(X-X2)=0

Your quadratic polynomial is factored as** a(X-X1)(X-X2)**

a(X-X1)(X-X2)=0

Your quadratic polynomial is factored as

May 28, 2014 | Casio Office Equipment & Supplies

Use the quadratic formula, or factor the quadratic polynomial. Once factored into a product of two first degree binomials, the roots are obtained by setting (in TURN) each binomial factor equal to zero.

May 02, 2014 | Casio fx-300ES 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

Your scientific calculator is unable to solve complex equation with complex coefficients. You should try to solve by hand directly using the quadratic formula or by factoring the polynomial in z

failing that, another way would be to set z=x+iy, substitute this for z, carry out the algebra and try to separate real and imaginary parts. But your two equations will constitute a system of two quadratic equations. I am not aware of any general method to solve coupled nonlinear equations.

Good luck.

failing that, another way would be to set z=x+iy, substitute this for z, carry out the algebra and try to separate real and imaginary parts. But your two equations will constitute a system of two quadratic equations. I am not aware of any general method to solve coupled nonlinear equations.

Good luck.

Dec 20, 2012 | Casio FX-115ES Scientific Calculator

If you expand that formula into r^2 +3r - 18 = 0, then you can use the quadratic formula.

The two solutions for r are:

r = (-3 + sqrt((-3)^2 -4(1)(-18))) / 2(1) = 3

and

r = (-3 - sqrt((-3)^2 -4(1)(-18))) / 2(1) = -6

Try typing those in using the calculator to get the same results.

The two solutions for r are:

r = (-3 + sqrt((-3)^2 -4(1)(-18))) / 2(1) = 3

and

r = (-3 - sqrt((-3)^2 -4(1)(-18))) / 2(1) = -6

Try typing those in using the calculator to get the same results.

May 25, 2011 | Texas Instruments TI-30XA Calculator

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

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

Have
you checked the calculator's manual to see if the calculator is able
(natively) to handle functions of a complex argument. It is able to
handle simple algebra with complex numbers, powers, roots, solving a polynomial equation.

For this calculator, the hyperbolic functions must have a real argument otherwise you get a error. But just to make sure, try the exponential function with i (imaginary unit) as argument. If it comes back with a domain error you have your answer.

For this calculator, the hyperbolic functions must have a real argument otherwise you get a error. But just to make sure, try the exponential function with i (imaginary unit) as argument. If it comes back with a domain error you have your answer.

Apr 06, 2011 | Texas Instruments TI-89 Calculator

Hello,

The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.

However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as**aX^3+bX^2+cX=d =0** , then you divide all terms of the equation by** a** to obtain

**X^3+(b/a)X^2+(c/a)X+(d/a)=0.**

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots**X1,X2,and X3.** Then the polynomial X^3+(b/a)X^2+(c/a)X+(d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

**P3(X) = a*(X-X1)(X-X2)(X-X3) **

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.

However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as

You use the calculator to solve (approximately) this equation.

Suppose you find the 3 roots

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

Sep 27, 2009 | Casio fx-300ES Calculator

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