Skip to main content

How to make a Dynamic Calculator to solve a quadratic equation?


Taking my first steps in the world of Mathematica Programming.


The aim of my program was to modify Wolfram's dynamic calculator
(which performs an addition subtraction and a product - in response to the user inputting two values used to perform these operations)
to now take three input and display on the three outputs:



[1] the quadratic equation to be solved
[2] the roots of this quadratic equation
[3] the discriminant of this equation


The three things (in red text) which you have to input are:


first input box is coefficient a
second input box is coefficient b
third input box is coefficient c


These coefficients represent a,b and c in the quadratic equation $ax^2 + bx +c$


So the Wolfram Demonstration & My attempt (the code below) look like this: http://www.controlmanchester.com/2013/08/01/quadratic-equation-images/


The code for the original program is available here: http://reference.wolfram.com/mathematica/example/ConstructADynamicCalculator.html



This is the code that I have written (modified really):


 DynamicModule[ 
{a = 0, b = 0, c = 0},
Deploy[
Style[
Panel[
Grid[
Transpose[
{
{

Style["input a ", Red],
Style["input b", Red],
Style["input c", Red],
"here is the equation",
"here is the value of the discriminant",
"here are the roots"},

{InputField[Dynamic[a], Number],
InputField[Dynamic[b], Number],
InputField[Dynamic[c], Number],

InputField[Dynamic[a*x^2 + b*x + c],Enabled -> False],
InputField[Dynamic[b]^2 - (4*Dynamic[a]*Dynamic[c]) , Enabled -> False],
InputField[Dynamic[a b], Enabled -> False]}
}
]
, Alignment -> Right]
, ImageMargins -> 10]
,
DefaultOptions -> {InputField -> {ContinuousAction -> True,
FieldSize -> {{5, 30}, {1, Infinity}}}}]

]
]

I have discovered, via trial and error, that within an input field I cannot simply try something like
Solve[x^2 + a x + 1 == 0, x] or Roots[ ].


I think this is where the heart of my problem lies.


At the moment the variables I put in do propagate down and show the coefficients of the quadratic, but I cannot get any further with it.


Any help, or guidance to things I should read are most welcome.


Many Thanks, David


p.s. I have seen from the answer by Mike Honeychurch that I have not described the problem as clearly as possible. I have edited the post :) I hope this makes my problem easier to understand




Answer



My first thought was this:


Manipulate[
Grid[
{
{TraditionalForm[u]},
{"Equation", Row[{u, " = 0"}]},
{"Solutions", Solve[u == 0, x]},
{"Roots", Roots[u == 0, x]},
{"Discriminant", Discriminant[u, x]}

}, Alignment -> Left],
{{u, x^2 + 2 x + 1}},
BaseStyle -> FontSize -> 16]

equationsolver


Comments

Popular posts from this blog

plotting - How to draw lines between specified dots on ListPlot?

I would like to create a plot where I have unconnected dots and some connected. So far, I have figured out how to draw the dots. My code is the following: ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4,13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full] I have thought using ListLinePlot command, but I don't know how to specify to the command to draw only selected lines between the dots. Do have any suggestions/hints on how to do that? Thank you. Answer One possibility would be to use Epilog with Line : ListPlot[ {{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4, 13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full, Epilog -> { Line[ ...

equation solving - Invert and fit implicitly defined curve

I need to fit an implicitly defined curve. I thought I could get some data out of Solve , and then using FindFit . Therefore, I would like to find the relation the parametric curve defined by $F(x,y)=0$: Solve[-(1/2) + 1/2 (0.41202 BesselK[0, 0.1 Sqrt[x^2 + y^2]] + (0.101483 x BesselK[1, 0.1 Sqrt[x^2 + y^2]])/Sqrt[x^2 + y^2]) == 0, y] But I can't get an output: Solve was unable to solve the system with inexact coefficients or the system obtained by direct rationalization of inexact numbers present in the system. Since many of the methods used by Solve require exact input, providing Solve with an exact version of the system may help. >> Edit: In particular, I would like to fit the data coming from the curve with the expression of another curve, and not with a function $f(x)$. In particular, since this clearly looks like a cardioid , I would like it to fit to something like it. What other strategies could I try?

dynamic - How can I make a clickable ArrayPlot that returns input?

I would like to create a dynamic ArrayPlot so that the rectangles, when clicked, provide the input. Can I use ArrayPlot for this? Or is there something else I should have to use? Answer ArrayPlot is much more than just a simple array like Grid : it represents a ranged 2D dataset, and its visualization can be finetuned by options like DataReversed and DataRange . These features make it quite complicated to reproduce the same layout and order with Grid . Here I offer AnnotatedArrayPlot which comes in handy when your dataset is more than just a flat 2D array. The dynamic interface allows highlighting individual cells and possibly interacting with them. AnnotatedArrayPlot works the same way as ArrayPlot and accepts the same options plus Enabled , HighlightCoordinates , HighlightStyle and HighlightElementFunction . data = {{Missing["HasSomeMoreData"], GrayLevel[ 1], {RGBColor[0, 1, 1], RGBColor[0, 0, 1], GrayLevel[1]}, RGBColor[0, 1, 0]}, {GrayLevel[0], GrayLevel...