Warm Up 1. Name 2 Perfect Square Trinomials. Use your book if necessary. What c makes this a perfect square & factor? 2. x2 – 12x + c 3. x2 + 10x + c.

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Presentation transcript:

Warm Up 1. Name 2 Perfect Square Trinomials. Use your book if necessary. What c makes this a perfect square & factor? 2. x2 – 12x + c 3. x2 + 10x + c

Completing the Square – Day 1 5-5 Completing the Square – Day 1 SWBAT -Solve quadratic equations by completing the square. -Write quadratic equations in vertex form. Holt Algebra 2

Vocabulary completing the square Many quadratic equations contain expressions that cannot be easily factored. For equations containing these types of expressions, you can use square roots to find roots.

Read as “plus or minus square root of a.” Reading Math

Solving Equations by Using the Square Root Property 1. x2 - 6x + 9 = 16 2. x2 + 12x + 36 = 28

Think-Pair-Share 4. x2 + 8x + 16 = 49 3. x2 + 4x + 4 = -64

Complete the square for the expression Complete the square for the expression. Write the resulting expression as a binomial squared. x2 – 14x +

Complete the square for the expression Complete the square for the expression. Write the resulting expression as a binomial squared. x2 + 9x + x2 + 4x + x2 + 9x + x2 + 4x +

Warm Up Write an equation of a line with an y intercept of 2. Is f(x) = a linear equation. Explain. Explain why the graph of x + 3y = 0 has only one intercept.

Completing the Square – Day 2 5-5 Completing the Square – Day 2 SWBAT -Solve quadratic equations by completing the square. -Write quadratic equations in vertex form. Holt Algebra 2

If a quadratic expression of the form x2 + bx cannot model a square, you can add a term to form a perfect square trinomial. This is called completing the square.

You can complete the square to solve quadratic equations.

Solve the equation by completing the square. x2 = 12x – 20

Solve the equation by completing the square. 18x + 3x2 = 45 x2 + 6x = 15

Solve the equation by completing the square. x2 – 2 = 9x

Solve the equation by completing the square. 2x2 – 4x = 5

HOMEWORK 1. Page 273 #24-33 all