Quadratic Functions Unit 5 Solving Quadratics by Completing

Quadratic Functions Unit 5

Solving Quadratics by Completing the Square Skill 22

Objectives/Vocabulary Students will be able to: Solve the trinomial equations by completing the square method Key Vocabulary: • Trinomial • Completing Square

Recall: Solving a Quadratic Equation Solving a quadratic equation means you are finding the x-intercepts of the graph of a parabola. These are also called the zeros or roots of the function. To find the zeros: • Set the equation equal to zero • Use a solving technique to solve for x. • Factoring • Completing the square • Quadratic Formula

Completing the Square This method is used when finding the solution of quadratic equations using square roots. If one side of the equation (having the trinomial) is not a perfect square, we can make it a perfect square by adding a suitable constant number on both sides of the equation. When a is not equal to 1, we have an extra step…

Solve by Completing the Square If the quadratic equation is of the form: Then solve by: Reverse Order of Operations Always remember that the square root of a positive number gives two answers, one positive and one negative.

Example; Solve the Completed Square for x •

Example; Solve the Completed Square for x •

Example: Find the solutions of the equation by completing the square.

Example: Find the solutions of the equation by completing the square.

Example: Find the solutions of the equation by completing the square.

Example: Find the solutions of the equation by completing the square.

CYU; Complete the Square •

CYU; Complete the Square •

CYU; Complete the Square •

Steps to Solve a Quadratic Equation • to both sides of equation Reverse order of operations Vertex form is needed, or when required.

Solving Quadratics by Completing the Square • Questions? • Worksheet/Video • CYU • Quiz