[size=100]The [i]CAS View[/i] allows you to use GeoGebra's CAS (Computer Algebra System) for symbolic computations. [br][/size]
[size=100][b]Equations[/b] are entered using an equal sign =, while the input := indicates an [b]assignment[/b].[br][br][/size][table][tr][td][size=100][b][font=Courier New][center]=[/center][/font][/b][/size][/td][td][size=100]Enter the equation [code]3x + 5 = 7 [/code]using the simple [i]Equal[/i] sign into the [i]CAS Input[/i] and hit the [i]Enter[/i] key. [/size][/td][/tr][tr][td][size=100][b] [/b][icon]https://wiki.geogebra.org/uploads/thumb/4/4d/Algebra_hidden.png/32px-Algebra_hidden.png[/icon][/size][/td][td][u]Note[/u]: If you want to show the corresponding line in the [i]Graphics View[/i], you need to click on the [i]Show / Hide[/i] icon next to the equation. [/td][/tr][tr][td][size=100][b][font=Courier New][center]:=[/center][/font][/b][/size][/td][td][size=100]Enter the function [code]f(x) := 2 * x + 1[/code][code] [/code]into the second row of the [i]CAS View[/i] and hit the [i]Enter[/i] key.[br][/size][/td][/tr][tr][td][size=100][br][/size][/td][td][size=100][u]Hints[/u]: [br][list][*]The function is automatically plotted in the [i]Graphics View[/i].[/*][*]If you define[size=100] [code]f(x) := 2 * x + 1[/code][code] [/code][/size]in the [i]CAS View[/i], then you can use[i] [font=Arial]f(x)[/font][/i] in all the other [i]Views[/i] of GeoGebra. [br][/*][/list][/size][/td][/tr][/table]
[size=100]In the CAS View, you can use [b]variables[/b] that were not assigned any value.[br][br][b]Task[/b]: Solve an equation step by step.[br][/size][table][tr][td][size=100]1.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_keepinput.png[/icon][/size][/td][td][size=100]Type [code]5x - 2 = 8[/code] and select the [i]Keep Input[/i] tool.[/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][center][code])[/code][/center][/td][td][size=100]In row 2, type the shortcut [code])[/code] in order to copy the previous output into the CAS Input. [br][u]Note[/u]: The term is automatically placed inside a set of parantheses [i](5x - 2 = 8)[/i].[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_evaluate.png[/icon][/size][/td][td]Type [code]+2[/code] outside of the parantheses and select the [i]Evaluate [/i]tool.[br][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][center][code])[/code][/center][/size][/td][td]Copy the previous output [code](5x = 10)[/code] into the next row.[/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_evaluate.png[/icon][/size][/td][td]Type [code]/ 5[/code] outside of the parantheses and select the Evaluate tool.[/td][/tr][tr][td][size=100]6.[/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/4d/Algebra_hidden.png/32px-Algebra_hidden.png[/icon][/size][/td][td]In row 1, click on the [i]Show / Hide[/i] icon in order to display the original equation in the [i]Graphics View[/i] and check your solution.[/td][/tr][/table]
[size=100][b]Multiplication[/b] of variables needs to be marked explicitly using an asterisk [code]*[/code]. [br][u]Example[/u]: The input [code]b * (c + d)[/code] gives you the output [i]bc + bd[/i].[br][br][u]Note[/u]: If you enter bc without the asterisk, you will create a new variable called bc.[/size]