Math Practice Topic: Completing the Square

Description: Complete the square to solve a quadratic zero equation.

Adaptive Learning Progression: The equations become tougher.

Sample Levels (out of 3)

Given a quadratic zero equation in x, complete the square to solve.

Example:
A squared form: (x + 2)2 = 5

A solution:   x = -3 + √15 / 3,   -3 - √15 / 3

1.
-x 2 + 12 = 0
Squared form:
x =
2.
5x 2 - 2 = 0
Squared form:
x =
3.
-x 2 + 2 = 0
Squared form:
x =

Given a quadratic zero equation in x, complete the square to solve.

Example:
A squared form: (x + 2)2 = 5

A solution:   x = -3 + √15 / 3,   -3 - √15 / 3

1.
3x 2 - 36x + 108 = 0
Squared form:
x =
2.
3x 2 + 6x - 15 = 0
Squared form:
x =
3.
5x 2 + 40x + 77 = 0
Squared form:
x =

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