[b][color=#0000ff]Here's an activity to check if you're able to complete the square![/color][/b][br][br]First type in your name in the right panel, and click Ok.[br][br]Adjust the values of the coefficients a, b, c, as well as the +/- signs.[br]Once you are sure that your completed-square answer is correct, click [Confirm].[br][br]You can toggle the levels: 1, 2, 3.[br][br]As you answer questions correctly for each of the 3 levels, the white square on the right panel will start to fill up. Aim to "complete the square"!

[size=150][b]If you need help for the steps for completing the square, here are some examples:[br][br][color=#cc0000][Example 1(a)][/color][br][/b]Complete the square for [i]x[/i][sup]2[/sup] + 8[i]x[/i].[br][math]x^2+8x=\left(x^2+8x+4^2\right)-4^2[/math][br][math]=\left(x+4\right)^2-16[/math][br][br][b][color=#cc0000][Example 1(b)][/color][br][/b]Complete the square for [i]x[/i][sup]2[/sup] - 5[i]x[/i].[br][math]x^2-5x=\left(x^2-5x+\left(\frac{5}{2}\right)^2\right)-\left(\frac{5}{2}\right)^2[/math][br][math]=\left(x-\frac{5}{2}\right)^2-\frac{25}{4}[/math][br][br][br][b][color=#3c78d8][Example 2(a)][/color][/b][br]Complete the square for 2x[sup]2 [/sup]+ 8x.[br][math]2x^2+8x=2\left(x^2+4x+2^2\right)-2\left(2^2\right)[/math][br][math]=2\left(x+2\right)^2-8[/math][br][br][b][color=#3c78d8][Example 2(b)][/color][/b][br]Complete the square for -x[sup]2 [/sup]+ 10x.[br][math]-x^2+10x=-\left(x^2-10x+5^2\right)+5^2[/math][br][math]=-\left(x-5\right)^2+25[/math][br][br][br][b][color=#38761d][Example 3(a)][/color][/b][br]Complete the square for 5x[sup]2[/sup] - 20x + 7.[br][math]5x^2-20x+7=5\left(x^2-4x+2^2\right)-20+7[/math][br][math]=5\left(x-2\right)^2-13[/math][br][br][b][color=#38761d][Example 3(b)][/color][/b][br]Complete the square for -2x[sup]2[/sup] - x +1.[br][math]-2x^2-x+1=-2\left(x^2+\frac{1}{2}x+\left(\frac{1}{4}\right)^2\right)+\frac{1}{8}+1[/math][br][math]=-2\left(x+\frac{1}{4}\right)^2+\frac{9}{8}[/math][/size]