Question about Casio FX-115ES Scientific Calculator

# I want to solve an complex equation on casio fx-570 ES Plus

I want to solve an quadratic equation with complex coefficients such as: z^2-(5-i)z+8-i=0 How should I proceed in order to do that?

Posted by on

### k24674

• Level 3:

An expert who has achieved level 3 by getting 1000 points

Superstar:

An expert that got 20 achievements.

All-Star:

An expert that got 10 achievements.

MVP:

An expert that got 5 achievements.

• Casio Master

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.

Posted on Dec 21, 2012

### k24674

Hello,
In your manual, Appendix Program Library, (Page A1) you have the listing of the problem to solve the quadratic equation. Type it in your calculator and execute it.

Hope it helps.

Posted on Oct 02, 2009

×

my-video-file.mp4

×

## Related Questions:

### How do i factor

This calculator is unable to factor a polynomial expression.
In general there are a few factoring methods
1. Factor by grouping terms
2. Factor by completing the square (quadratic polynomial)
3. Factor by finding two integers such their sum is equal to the coefficient of the middle term, and their product is equal to the third (constant term). This is valid for a quadratic polynomial where the leading coefficient (of the x^2 term) is equal to 1. X^2+SX+P
A cubic equation can be solved algebraically, although two solutions may be complex. Use the Cardano formulas. A quartic equation can be solved by the formulas for the quadratic equation, if you transform the quartic equation to look like A(X^2)^2 + B(X^2) +C=0

Jul 31, 2012 | Casio FX-115ES Scientific Calculator

### How to find values of x in higher order equations(above cube) on casio 570 ES?

In equation mode, you have system of linear equations (3 unknown) you have polynomial (quadratic and cubic), and solver. Use the solver foe any type of equation (nonlinear, polynomial of order higher than 4, trigonometric, exponential, logs).

May 21, 2012 | Casio Scientific Calculator Fx-570 Fx570...

### Edit Casio FX - 9860G SD have complex equations??

Thhe Casio FX-9860G SD can solve a polynomial equation of degree 2 or 3 with REAL coefficients. If the complex MODE is set to REAL it will find the real roots. If the complex mode is set to a+ib, it will find the real and complex roots.

Apparently it will take coefficients that are real, and will give a Ma Error if any coefficient is complex.

The calculator CANNOT solve equations with complex coefficient. YOU can however convert the system of linear equations with ccomplex coefficients ( of the type you show) as a system of 4 linear equations in 4 unknowns; Split x into a real and an imaginary part, split y into a real and an imaginary part. Substitute Real(x)+iIm(x) for variable x in the equations; substitute Real(y)+iIm(y) for y in the two equations; do the algebra. In each of the original equations split the Real and imaginary parts. You should be able to derive 4 linear equations in unknowns Real(x), Im(x), Real(y), and Im(y).
Use the linear equation solver to obtain the solutions. Recompose x=Real(x)+iIm(x), and y=Real(y)+iIm(y)

Alternatively, after you create the system of 4 linear equations you can use the matrix utility to find Real(x), Im(x), Real(y) and Im(y) and recompose the x and y.

Mar 17, 2012 | Casio FX-9860G Graphic Calculator

### Casio FX - 9860G SD have complex equations?? edit

The Casio FX-9860G SD can solve a polynomial equation of degree 2 or 3 with REAL coefficients. If the complex MODE is set to REAL it will find the real roots. If the complex mode is set to a+ib, it will find the real and complex roots.

Apparently it will take coefficients that are real, and will give a Ma Error if any coefficient is complex.

The calculator CANNOT solve equations with complex coefficient. YOU can however convert the system of linear equations with ccomplex coefficients ( of the type you show) as a system of 4 linear equations in 4 unknowns; Split x into a real and an imaginary part, split y into a real and an imaginary part. Substitute Real(x)+iIm(x) for variable x in the equations; substitute Real(y)+iIm(y) for y in the two equations; do the algebra. In each of the original equations split the Real and imaginary parts. You should be able to derive 4 linear equations in unknowns Real(x), Im(x), Real(y), and Im(y).
Use the linear equation solver to obtain the solutions. Recompose x=Real(x)+iIm(x), and y=Real(y)+iIm(y)

Mar 17, 2012 | Casio Office Equipment & Supplies

### Casio FX - 9860G SD have complex equations??

Your question (?) is not clear so I will not try to guess what you really mean.
Be it as it may, the Casio FX-9860G SD can solve a polynomial equation of degree 2 or 3 with REAL coefficients. If the complex MODE is set to REAL it will find the real roots. If the complex mode is set to a+ib, it will find the real and complex roots.

Apparently it will take coefficients that are real, and will give a Ma Error if any coefficient is complex.

Mar 16, 2012 | Casio FX-9860G Graphic Calculator

### Casio FX - 9860G SD have complex equations??

Your question (?) is not clear so I will not try to guess what you really mean.
Be it as it may, the Casio FX-9860G SD can solve a polynomial equation of degree 2 or 3 with REAL coefficients. If the complex MODE is set to REAL it will find the real roots. If the complex mode is set to a+ib, it will find the real and complex roots.

Apparently it will take coefficients that are real, and will give a Ma Error if any coefficient is complex.

Mar 16, 2012 | Casio Office Equipment & Supplies

### Casio FX - 9860G SD have complex equations??

Your question (?) is not clear so I will not try to guess what you really mean.
Be it as it may, the Casio FX-9860G SD can solve a polynomial equation of degree 2 or 3 with REAL coefficients. If the complex MODE is set to REAL it will find the real roots. If the complex mode is set to a+ib, it will find the real and complex roots.

Apparently it will take coefficients that are real, and will give a Ma Error if any coefficient is complex.

Mar 16, 2012 | Casio FX-9750GPlus 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

### Inputing factors on a casio fx-115es calculator

Unless I am failing to understand your problem, just combine like terms to get:
9x^2+2x+4 and then enter those coefficients into the quadratic solver.
That will get you the two answers -- both of them will be complex.
If you wanted to turn those two answers into factors (complex) of the original equation simply
change the signs on each and put an x in front.
Of course, the quadratic formula would also work.
CG

Apr 17, 2009 | Casio FX-115ES Scientific Calculator

#### Related Topics:

1,943 people viewed this question

Level 3 Expert

Level 3 Expert