[size=150][b]The expression [/b][math]x^2+6x[/math][b] is represented visually below, where [/b][math]x^2[/math][b] is the area of the blue square and [/b][math]x[/math][b] is the area of each green rectangle. How many small squares are needed to "complete the square"? Show this geometrically by placing small light colored squares in the relevant spots.[/b][/size]
[size=100][size=150][b]Use your work above to rewrite the expression [/b][math]x^2+6x[/math][b] as the difference of a perfect square and a whole number. Enter it below.[/b][/size][/size]
[size=100][b][size=150]Check your work above by typing CompleteSquare(x^2+6x) in the GeoGebra input bar below. (Or copy and paste it.)[/size][/b][/size]
[size=150][b]Use your work above to solve the equation [/b][math]x^2+6x=4[/math][b] for [/b][math]x[/math][b]. Put your answer in the box below. Use the notepad for any scratch work.[/b][/size]
[size=150][b]Check your work above by typing Solve(x^2+6x=4) in the GeoGebra input bar below.[/b] [/size]
[b][size=150]Experiment with other expressions using the algebra tiles above. Then use your work to solve at least one quadratic equation. Use GeoGebra's "CompleteSquare" and "Solve" functions to check your answers.[/size][/b]