Solving by Completing the Square

Last updated over 3 years ago
6 questions
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 itemCorresponding 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. Show your work below.
x2 - 18x + 60 = -21