Solving Quadratic Equations

Slides:



Advertisements
Similar presentations
Solving Quadratic Equations Using Square Roots & Completing the Square
Advertisements

EXAMPLE 1 Solve a quadratic equation by finding square roots Solve x 2 – 8x + 16 = 25. x 2 – 8x + 16 = 25 Write original equation. (x – 4) 2 = 25 Write.
Completing the Square Perfect Square Trinomials: Factor: This is called a perfect square trinomial because the factors are the same. So we can rewrite.
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
U4L3 Solving Quadratic Equations by Completing the Square.
Solve.. Question of the Day CCGPS Geometry Day 62 ( ) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s.
Completing the Square.
Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up into the following.
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.
Warm Up  Find the roots. Solving Quadratic Equations by Completing the Square.
8-1 Completing the Square
Martin-Gay, Beginning Algebra, 5ed 22 Not all quadratic equations can be solved as in the previous examples. By using a method called completing the square,
Solving by Completing the Square What value would c have to be to make the following a perfect square trinomial?
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
Solving Quadratic Equations by Completing the Square.
Solve a quadratic equation by finding square roots
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Algebra Completing the Square. Solving with Square Roots.
Aim: How do we solve quadratic equations by completing square?
3.7 Completing the Square Objective:
Solving Quadratic Equations by Completing the Square
Solve Quadratic Equations by Completing the Square
Algebra 1 Warm up #3 Solve by factoring:.
Solving Quadratic Equations by Completing the Square
International Studies Charter School
Perfect Square Trinomials:
Solving Quadratic Equations by Completing the Square
Section 3.3 Beginning on page 112
Solving Quadratic Equations by Completing the Square
Aim: How do we solve quadratic equations by completing square?
Solving Quadratic Equations by Completing the Square
4.6 Completing the Square Learning goals
4.6 Completing the Square Learning goals
Solving Quadratic Equations by Completing the Square
Algebra II Section 4.5a Complete the Square
Solving Quadratic Equations by Completing the Square
Section 4.7 Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
5.5 Completing the Square.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Completing the Square CA 14.0, 23.0.
Unit 4 Lesson 1: Completing the square
9.3 Solve Quadratics by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Completing the Square.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Warm-Up Set 1: Factor. 1) x2 + 6x + 9 2) x2 - 10x + 25 Set 2: Factor.
Solving Quadratic Equations by Finding Square Roots
6-3 Completing the Square
Solving Quadratic Equations by Completing the Square
Label your paper DNA 7.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Complete the Square January 16, 2017.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Presentation transcript:

Solving Quadratic Equations Solve by completing the square Solve by factoring Re-write the equation so all the variables are on the left and the constant is on the right. + - 2 8 (2) Form a perfect square trinomial by adding to both sides Holy schnikies, it’s the same answer! (3) Factor left side & write the left side as a square. (4) Take the square root of both sides. (5) Solve for x. I’d like to see that again. or

Solving Quadratic Equations by Completing the Square Re-write the equation so all the variables are on the left and the constant is on the right. (2) Form a perfect square trinomial by adding to both sides (3) Factor left side & write the left side as a square. (4) Take the square root of both sides. (5) Solve for x. or or

Solving Unfactorable Equations by Completing the Square Re-write the equation so all the variables are on the left and the constant is on the right. (2) Form a perfect square trinomial by adding to both sides (3) Factor left side & write the left side as a square. (4) Take the square root of both sides. (5) Solve for x.

Homework Page 579: 13 - 18 All Questions