### Concept (1)

Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations and is a good tool to have in your math tool belt.

### Sample Problems (8)

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Solve by completing the square:

x² − 4x − 32 = 0
###### Problem 1
How to solve a quadratic equation by completing the square and the leading coefficient is one.

Solve by completing the square:

3x² − 12x − 30 = 0
###### Problem 2
How to solve a quadratic by completing the square when the leading coefficient is not one.

Solve by completing the square:

2x² − 6x + 2 = 0
###### Problem 3
How to solve a quadratic by completing the square when the leading coefficient is not one and the middle term is odd.
###### Problem 4
Using completing the square to solve a quadratic equation when "a" is one and "b" is even
###### Problem 5
Using completing the square to solve a quadratic equation when "a" is one and "b" is even, but could not use factoring
###### Problem 6
Using completing the square to solve a quadratic equation when "a" is one and "b" is odd
###### Problem 7
Using completing the square to solve a quadratic equation when "a" is not one and "b" is odd
###### Problem 8
Using completing the square to solve a quadratic equation when "a" is not one and "b" is even