Solving a Quadratic by Completing the Square - Concept

Concept 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 Sample Problems (3)

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Solving a Quadratic by Completing the Square - Problem 1

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.
Solving a Quadratic by Completing the Square - Problem 2

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.
Solving a Quadratic by Completing the Square - Problem 3

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.