# Complete the Square (Solve Quadratic)

Common Core: HSA-SSE.B.3b

Related Topics:
Common Core (Algebra)
Common Core for Mathematics

Examples, videos and lessons to help High School students learn to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A. Factor a quadratic expression to reveal the zeros of the function it defines.

B. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

### Suggested Learning Targets

• Write quadratics expressions in equivalent forms by completing the square.

Completing the Square - Solving Quadratic Equations
Example:
x2 - 6x + 8
Completing the Square Example 2 - Solve Quadratic Equations
Example:
2x2 - 6x + 3 = 0

Solving Quadratic Equations by Completing the Square.
Examples:
x2 - 6x = 5
10x2 - 30x - 4 = 0
Completing the square.
Example:
3x2 - 18x - 15 = 0 Completing the Square to Solve Quadratic Equations.
Example:
3x2 - 1 = 12x Completing the Square to Solve Quadratic Equations.
Example:
-5x2 + 3x = -2

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.