Completing the Square

-4

4

8

16

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

x = -6 ± 2√7

x = 6 ± 2√7

x = 28 ± √6

x = -28 ± √6

4

16

64

-16

1. Move the constant to the right side.

2. Factor the perfect square trinomial

3. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

4. Write two equations and solve

1. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

2. Move the constant to the right side

3. Factor the perfect square trinomial

4. Write two equations and solve

1. Move the constant to the right side

2. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

3. Factor the perfect square trinomial

4. Write two equations and solve

1. Add $$\left(\frac{b}{2}\right)^2$$   on both sides of the equation.

2. Move the constant to the right side

3. Write two equations and solve

4. Factor the perfect square trinomial.

Set the equation equal to zero

Divide 10 by 2 and add the result to both sides

Add a² and 10a together

Subtract the 21

(v + 9)² - 1

(v + 9)² + 1

(v - 9)² - 1

(v - 9)² + 1

Take half of 10 and square it.

Add 25 to both sides.

Solve the perfect square trinomial

Take the square root of both sides

Solve for x to get a solution.

Take half of -9 and add to both sides.

Divide all terms by 10

Set equal to zero.