Solve different equations using the [i]Solve [/i]command.

[table][tr][td]1.[/td][td]Enter the equation [math]3\left(x-2\right)=5x+14[/math] into the [i]Input Bar[/i] and press [i]Enter[/i].[/td][/tr][tr][td]2.[/td][td]Open the context menu of the equation by pressing the [i]More [/i]button next to it and select [i]Solve[/i].[/td][/tr][tr][td][/td][td][b]Note: [/b]The equation will be labeled [i]eq1[/i] and the solution will be shown in the next row.[/td][/tr][tr][td]3.[/td][td]Enter the equation [math]2x^2-x=15[/math] into the [i]Input Bar[/i] and press [i]Enter[/i].[/td][/tr][tr][td]4.[/td][td]Again open the context menu by pressing the [i]More [/i]button and select [i]Solve[/i].[/td][/tr][tr][td][br][/td][td][b]Note: [/b]The equation will be labeled [i]eq2[/i] and both solutions will be shown in the next row.[br]In addition a [img]https://wiki.geogebra.org/uploads/thumb/6/66/Numeric_toggle_button.png/24px-Numeric_toggle_button.png[/img] toggle button for numeric output will appear allowing you to change the result into a rounded decimal. You can toggle back to exact output by pressing the corresponding [img]https://wiki.geogebra.org/uploads/thumb/8/8b/Symbolic_toggle_button.png/24px-Symbolic_toggle_button.png[/img] toggle button.[br][/td][/tr][tr][td]5.[/td][td]Change the equation [i]eq2 [/i]into [math]2x^2-x=21[/math] and press [i]Enter. [/i]Watch how the solution adapts to your changes.[/td][/tr][tr][td]6.[/td][td]Enter the command [math]Solve\left(\frac{6x}{x+3}-\frac{x}{x-3}=2\right)[/math] into the [i]Input Bar[/i] and press [i]Enter[/i]. [/td][/tr][tr][td]7.[/td][td][b]Note:[/b] The solutions will be shown in the output row. [/td][/tr][/table][table][tr][td]8.[/td][td]Enter the command [math]Solve\left(12e^x=150\right)[/math] into the [i]Input Bar[/i] to solve the exponential equation.[/td][/tr][tr][td][/td][td][b]Note:[/b] You can also enter the equation and then select [i]Solve[/i] from the context menu.[br]In addition a [img]https://wiki.geogebra.org/uploads/thumb/6/66/Numeric_toggle_button.png/24px-Numeric_toggle_button.png[/img] toggle button for numeric output will appear allowing you to change the result into a rounded decimal. You can toggle back to exact output by pressing the corresponding [img]https://wiki.geogebra.org/uploads/thumb/8/8b/Symbolic_toggle_button.png/24px-Symbolic_toggle_button.png[/img] toggle button.[br][/td][/tr][tr][td]9.[/td][td]Enter the command [math]Solve\left(a\cdot ln\left(b\cdot x+c\right)=d\right)[/math] into the [i]Input Bar [/i]and press [i]Enter[/i].[/td][/tr][tr][td][/td][td]The [i]GeoGebra CAS Calculator[/i] will show you the solution for [i]x [/i]with parameters [i]a[/i], [i]b[/i], [i]c [/i]and [i]d[/i].[/td][/tr][/table]

Solve different inequalities and equations in more variables using the [i]Solve [/i]command.

[table][tr][td]1.[/td][td]Solve the inequality by entering [math]Solve(3x+2>-x+8)[/math] into the [i]Input Bar[/i].[/td][/tr][tr][td]2.[/td][td]Enter the command [math]Solve(x\cdot(x-5)>x+7)[/math] into the [i]Input Bar[/i].[/td][/tr][tr][td]3.[/td][td]Enter the equation [math]2x+3y=\frac{x^2}{y}[/math] into the [i]Input Bar[/i].[/td][/tr][tr][td]4.[/td][td]Open the context menu and label the equation [i]eq1[/i] by selecting [i]Add label[/i].[/td][/tr][tr][td]5.[/td][td]Enter the command [math]Solve(eq1,x)[/math] to solve the equation for [i]x[/i].[/td][/tr][tr][td]6.[/td][td]Enter the command [math]Solve(eq1,y)[/math] to solve the equation for [i]y[/i]. [/td][/tr][/table]