7-6 USING THE QUADRATIC FORMULA ALGEBRA 1 CP OBJECTIVE: USING THE QUADRATIC FORMULA TO SOLVE QUADRATIC EQUATIONS.

Slides:

Advertisements

Similar presentations

7-5 solving quadratic equations

Advertisements

Section 9-9: The Quadratic Formula & The Discriminant Pg.652.

EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±

Essential Questions: What is the quadratic formula? Why is it useful?

TODAY IN ALGEBRA 2.0…  Review: Solving for a given side  Learning Target: 13.1 Finding an angle using inverse Trigonometry  Independent Practice.

TODAY IN ALGEBRA…  Warm up: Find products of special polynomials  Learning Target: 9.4 You will solve polynomial equations in factored form  Independent.

TODAY IN ALGEBRA…  Warm Up: Graphing Linear Equations and solving for y.  Learning Goal: 7.1 You will solve systems on linear equations by Graphing 

JEOPARDY! Graphing Quadratics Graphing Solving using Square Roots Discriminants GO TO FINAL.

2.13 Warm Up x² - 2x + 15 = 0; 3 x² + 3x – 4 = 0; 1

Unit 2 Solving Polynomials by Taking the Square Root.

Goals: To solve quadratic equations by using the Quadratic Formula.

Unit 5 Algebra Investigations Notes 2.13: Use Square Roots to Solve Quadratic Equations Lesson 3: Solving Polynomials MM1A3a.

2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.

The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)

5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate.

Do Now : Evaluate when x = 6, y = -2 and z = The Quadratic Formula and the Discriminant Objectives Students will be able to: 1)Solve quadratic.

Warm Up. Solving Quadratic Equations by the Quadratic Formula.

Pg. 97 Homework Pg. 109#24 – 31 (all algebraic), 32 – 35, 54 – 59 #30#31x = -8, 2 #32#33 #34#35 #36#37x = ½, 1 #38#39x = -1, 4 #40#41 #42 x = -3, 8#43y.

Solving Quadratic Equations using the Quadratic Formula

Table of Contents Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic.

Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic equation.

9.5 - The Quadratic Formula

Lesson 5-6: Quadratic Formula Algebra II CP Mrs. Mongold.

Warm-Up: Solve each equation. Essential Question  How do I use the quadratic formula?

Solving a Trigonometric Equation Find the general solution of the equation.

Warm – up #1 Hw:pg 301 # 12-15, 21, 23, ODD (skip 45)

Bonus! TranslationsSolvingFactoring Quadratic Formula.

Section 10.6 Solve Any Quadratic Equation by using the Quadratic Formula.

Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula.

Notes Over 5.6 Quadratic Formula

9-4A Solving Quadratic Equations by Using the Quadratic Formula Algebra 1 Glencoe McGraw-HillLinda Stamper.

TODAY IN ALGEBRA…  Warm Up: Review solving Multi-step equations  15 minutes: Finish Mid-Ch.3 Test  Learning Goal: 3.4 You will solve equations with.

Title: ch. 6 Algebra: quadratic equations. Learning Objective: WALT solve quadratic equations by using the quadratic formula. p.143.

Warm Up  1.) Write 15x 2 + 6x = 14x in standard form. (ax 2 + bx + c = 0)  2.) Evaluate b 2 – 4ac when a = 3, b = -6, and c = 5.

Warm Up. 4.6 Quadratic Formula What THREE methods have we used so far to solve quadratics? Today you will learn the 4 th and LAST method used for solving.

WARM UP What are the solutions of each equation? 1.) x = 4 2.) x = 0 3.) x 2 – 49 = 0.

2.2 Solving Quadratic Equations Algebraically Quadratic Equation: Equation written in the form ax 2 + bx + c = 0 ( where a ≠ 0). Zero Product Property:

Algebra 1 Section 9.1 Evaluate square roots Solve simple quadratic equations Note: 5 2 = 25 and (-5) 2 = 25 so both 5 and -5 are square roots of 25. What.

Solving Linear Equations

Do Now Use the standard form of a quadratic equation to find the a, b and c of each equation. ax2 + bx + c = 0 x2 – 6x + 10 = 0 2x2 + 3x + 4 = 0 x2 –

The Quadratic Formula..

Solving Quadratic Equations by the Complete the Square Method

Warm Up Use a calculator to evaluate

Warm-Up 8-3: ACT SET 1.

nth Roots and Rational Exponents

Solve Quadratic Equations by the Quadratic Formula

Solve Quadratic Equations by Completing the Square

Sullivan Algebra and Trigonometry: Section 1.3

Warm Up – System of Equations

Warmup 1. Solve x2 – 14x + 9 = 0 by completing the square.

Unit 7 Day 4 the Quadratic Formula.

Class Notes 11.2 The Quadratic Formula.

The Quadratic Formula.

Ch. 9 Vocabulary 8.) quadratic equation

Objective Solve quadratic equations by using square roots.

Quadratic Equations.

(Please have your homework out)

The Distance Formula Use this formula to find the distance between the following two points.

Use the discriminant to find the number of solutions

Two Types of Factorising

Using the Quadratic Formula to Solve Quadratic Equations

Bell Quiz 2 Solve the following linear equations:

The Quadratic Formula..

L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.

Systems Warm-Up Solve each linear system. x + 7 = y -4x + 2 = y

The Quadratic Formula..

Solve Quadratic Equations by the Quadratic Formula

Presentation transcript:

7-6 USING THE QUADRATIC FORMULA ALGEBRA 1 CP OBJECTIVE: USING THE QUADRATIC FORMULA TO SOLVE QUADRATIC EQUATIONS.

WARM UP Solve 3x 2 = 48.

Solve x 2 + 5x + 6 = 0 by using the quadratic formula.

Solve 2x 2 + 3x - 2 = 0 by using the quadratic formula.

Solve 4x + 2x = 0 by using the quadratic formula. Round solutions to the nearest hundredth.

Solve 3 - 3x 2 + 4x = 0 by using the quadratic formula. Round solutions to the nearest hundredth.

HOMEWORK Pg 346 – 347 # 7 – 18 even, 20