# Grade 10 Math: Quadratic Equations, Graphs, and More Completing the Square (Part 2)

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### Complete the square for the following equation $$x^2 + x +1$$

$$(x+\frac{1}{2})^2-\frac{3}{4}$$
$$(x+\frac{3}{2})^2-\frac{3}{4}$$
$$(x+\frac{1}{3})^2-\frac{3}{4}$$
$$(x+\frac{1}{2})^2-\frac{1}{4}$$

### Complete the square for the following equation $$x^2 + 5x +4$$

$$(x+\frac{5}{2})^2-\frac{9}{4}$$
$$(x+\frac{5}{2})^2-\frac{1}{4}$$
$$(x+\frac{5}{2})^2-\frac{5}{4}$$
$$(x+\frac{3}{2})^2-\frac{9}{4}$$

### Complete the square for the following equation $$x^2 - 3x +1$$

$$(x-\frac{1}{2})^2-\frac{5}{4}$$
$$(x-\frac{3}{2})^2-\frac{5}{4}$$
$$(x-\frac{3}{2})^2-\frac{1}{4}$$
$$(x-\frac{3}{2})^2-\frac{3}{4}$$

### Complete the square for the following equation $$2x^2 + 4x +8$$

$$2(x-1)^2-10$$
$$2(x+1)^2+10$$
$$2(x-1)^2+10$$
$$2(x+1)^2-10$$

### Complete the square for the following equation $$5x^2 + 10x +15$$

$$5(x+1)^2+10$$
$$5(x+2)^2+10$$
$$5(x-1)^2+10$$
$$5(x+1)^2-10$$

### Complete the square for the following equation $$3x^2 - 12x +2$$

$$2(x+2)^2-10$$
$$2(x-2)^2+10$$
$$(x-2)^2-10$$
$$2(x-2)^2-10$$

### Complete the square for the following equation $$3x^2 - 27x +9$$

$$3(x-\frac{9}{2})^2-\frac{207}{4}$$
$$3(x-\frac{7}{2})^2-\frac{207}{4}$$
$$3(x-\frac{9}{2})^2+\frac{207}{4}$$
$$3(x-\frac{9}{2})^2-\frac{207}{2}$$

### Complete the square for the following equation $$2x^2 + 6x +1$$

$$(x+\frac{3}{2})^2-\frac{14}{4}$$
$$2(x+\frac{3}{2})^2-\frac{14}{4}$$
$$2(x+\frac{1}{2})^2-\frac{14}{4}$$
$$2(x+\frac{3}{2})^2-\frac{13}{4}$$

### Complete the square for the following equation $$5x^2 +2x -9$$

$$(x+\frac{1}{5})^2-\frac{46}{25}$$
$$(x+\frac{2}{5})^2-\frac{46}{25}$$
$$(x+\frac{3}{5})^2-\frac{46}{25}$$
$$(x+\frac{1}{5})^2+\frac{46}{25}$$