Sec 5.5 – Completing the Square: Day 1 Review: Square each of the following binomials. 1)(x + 7) 2 2)(x – 5) 2 (x + 7)(x +7) x 2 +7x +7x +49 x 2 +14x +49.

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Presentation transcript:

Sec 5.5 – Completing the Square: Day 1 Review: Square each of the following binomials. 1)(x + 7) 2 2)(x – 5) 2 (x + 7)(x +7) x 2 +7x +7x +49 x 2 +14x +49 (x – 5)(x – 5) x 2 -5x -5x +25 x 2 -10x +25 3)4)(x + y) 2 (x + y)(x + y) x 2 +xy +xy +y 2 x 2 +2xy +y 2

PERFECT SQUARE TRINOMIAL What is the square root of the third term? Multiply each by ±2x What did you find?

A trinomial is a PERFECT SQUARE TRINOMIAL if: the middle term is ±2(x)(square root of third term) the middle term is ±2(x)(square root of third term) If third term is 121, middle term should be ±22x. If third term is 121, middle term should be ±22x. If third term is 9/16, middle term should be ±3/2x. If third term is 9/16, middle term should be ±3/2x.

Examples: Determine if the following are perfect square trinomials. 1) 2) 3)

Fill in the blank to make each trinomial a perfect square trinomial. 4) 5) 6)7) 8)9)

Solve by completing the square. 10) *) Divide entire equation by “a”. A) Rewrite in the form:. B) Complete the square on the left and also add this value to the right side. C) Write the expression on the left as a binomial squared. D) Take the square root of both sides. E) Solve for the variable.

11)12)