Algebra 2 5-4 Completing the Square. Solving with Square Roots.

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Presentation transcript:

Algebra Completing the Square

Solving with Square Roots

Completing the Square When one side of the equation is not a perfect square, the equation can be re- written to get a perfect square, and solved. The following relationship helps when completing the square.

Completing the Square - Example

Example

Completing the Square - Practice

Completing the Square - Example

Example

Completing the Square - Example

Completing the Square - Practice

Completing the Square When the coefficient of the first term (a) is not one, divide all terms by a, then complete as before.

Completing the Square - Example

Completing the Square - Practice

Vertex Form Use completing the square, to re-write quadratic equations in vertex form

Vertex Form - Example

Example

Vertex Form - Example

Vertex Form - Practice

Homework Page 345 – – 36 even, 44, 46, 57, 61, 95