Solving by Completing the Square

10

Add the number that would make the expression a perfect square. 
Next, write an equivalent expression in factored form. (x^2 = x2)
x2 - 6x _______ → factored form: _______ 

x2 + 2x _______ → factored form: _______ 

x2 + 14x _______ → factored form: _______ 

x2 - 4x _______ → factored form: _______ 

x2 + 24x _______ → factored form: _______ 

1

Match each equation to an equivalent equation with a perfect square on one side.

Draggable item		Corresponding Item

1

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 6x + 5 = 12

1

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 2x = 8

1

Solve the equation by completing the square. Type the smaller solution into the box below.
11 = x2 + 4x - 1

1

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 6x + 5 = 12

Solving by Completing the Square

Match each equation to an equivalent equation with a perfect square on one side.

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 6x + 5 = 12

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 2x = 8

Solve the equation by completing the square. Type the smaller solution into the box below.
11 = x2 + 4x - 1

Solve the equation by completing the square. Show your work below.
x2 - 18x + 60 = -21

Match each equation to an equivalent equation with a perfect square on one side.

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 2x = 8

Solve the equation by completing the square. Type the smaller solution into the box below.
11 = x2 + 4x - 1

Solve the equation by completing the square. Show your work below.
x2 - 18x + 60 = -21

Solving by Completing the Square

Solve the equation by completing the square. Type the smaller solution into the box below.x2 - 6x + 5 = 12

Solving by Completing the Square

Match each equation to an equivalent equation with a perfect square on one side.

Solve the equation by completing the square. Type the smaller solution into the box below.x2 - 6x + 5 = 12

Solve the equation by completing the square. Type the smaller solution into the box below.x2 - 2x = 8

Solve the equation by completing the square. Type the smaller solution into the box below.11 = x2 + 4x - 1

Solve the equation by completing the square. Show your work below.x2 - 18x + 60 = -21

Match each equation to an equivalent equation with a perfect square on one side.

Solve the equation by completing the square. Type the smaller solution into the box below.x2 - 2x = 8

Solve the equation by completing the square. Type the smaller solution into the box below.11 = x2 + 4x - 1

Solve the equation by completing the square. Show your work below.x2 - 18x + 60 = -21

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 6x + 5 = 12

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 6x + 5 = 12

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 2x = 8

Solve the equation by completing the square. Type the smaller solution into the box below.
11 = x2 + 4x - 1

Solve the equation by completing the square. Show your work below.
x2 - 18x + 60 = -21

Solve the equation by completing the square. Type the smaller solution into the box below.
x2 - 2x = 8

Solve the equation by completing the square. Type the smaller solution into the box below.
11 = x2 + 4x - 1

Solve the equation by completing the square. Show your work below.
x2 - 18x + 60 = -21