WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = -2 3.-5(-n)(-n)

Slides:



Advertisements
Similar presentations
10-7 The Quadratic Formula
Advertisements

WARM UP 4 PRODUCT OF POWERS Write the expression as a single power of the base (LESSON 8.1). x2 • x5 (-5) • (-5)8 x2 • x4 • x6 x • x4 • x3.
2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.
EXAMPLE 4 Choose a solution method Tell what method you would use to solve the quadratic equation. Explain your choice(s). a. 10x 2 – 7 = 0 SOLUTION a.
Table of Contents Quadratic Equation: Solving Using the Quadratic Formula Example: Solve 2x 2 + 4x = 1. The quadratic formula is Here, a, b, and c refer.
Lesson 9.8. Warm Up Evaluate for x = –2, y = 3, and z = – x 2 2. xyz 3. x 2 – yz4. y – xz 4 5. –x 6. z 2 – xy
6.5 – Solving Equations with Quadratic Techniques.
Using the factoring method, what are the solutions of y = x 2 + 5x + 6.
Goals: To solve quadratic equations by using the Quadratic Formula.
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)
WARM UP WHAT TO EXPECT FOR THE REST OF THE YEAR 4 May c May Quadratic Formula May b May 19 Unit 9 Quiz 2 May The Discriminant.
Quadratics Solving equations Using “Completing the Square”
Essential Question: How do you use the quadratic formula and the discriminant? Students will write a summary including the steps for using the quadratic.
Pre-Calculus Section 1.5 Equations Objectives: To solve quadratics by factoring, completing the square, and using the quadratic formula. To use the discriminant.
Review – Quadratic Equations All quadratic equations do not look the same, but they all can be written in the general form. y = a·x 2 + b·x + c where a,
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.
ANSWER 3. Evaluate the expression. Warm Up for Lesson x 2 when x = 4 ANSWER 128 ANSWER –1 2.–4 + x when x = 9 √ Find the (1)Axis of Symmetry, (2)the.
Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.
WARM UP WHAT TO EXPECT FOR THE REST OF THE YEAR 4 May The Discriminant May 29 Chapter Review May 30 Review May 31 Chapter 9 Test June Adding.
MM2A3 Students will analyze quadratic functions in the forms f(x) = ax 2 +bx + c and f(x) = a(x – h) 2 = k. MM2A4b Find real and complex solutions of equations.
Lecture 301 Solving Quadratic Equations Two Methods Unit 4 Lecture 30 Solving Quadratic Equations.
9.5 - The Quadratic Formula
Solving a Trigonometric Equation Find the general solution of the equation.
Getting Started The objective is to be able to solve any quadratic equation by using the quadratic formula. Quadratic Equation - An equation in x that.
Notes Over 5.6 Quadratic Formula
Aim: How do we solve quadratic equation with complex roots? Do Now: 1. Solve for x: 2. Solve for x: 3. Solve for x: HW: p.219 # 6,8,10,12,14 p.241 # 6,14,25.
Warm Up 1.) What is the graph of the function y = -x 2 + 4x + 1?
PreCalculus Section 1.6 Solve quadratic equations by: a. Factoring b. Completing the square c. Quadratic formula d. Programmed calculator Any equation.
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
Factoring Polynomials.
Bellwork 1)Write in standard form. 2) 3)A student is solving an equation by completing the square. Write the step in the solution that appears just before.
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.
3.4 Chapter 3 Quadratic Equations. x 2 = 49 Solve the following Quadratic equations: 2x 2 – 8 = 40.
Lesson 6.5: The Quadratic Formula and the Discriminant, pg. 313 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant.
1.2 Quadratic Equations. Quadratic Equation A quadratic equation is an equation equivalent to one of the form ax² + bx + c = 0 where a, b, and c are real.
PreCalculus Section 1. 6 Solve quadratic equations by: a. Factoring b
The Quadratic Formula..
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 –
4.6 Quadratic formula.
Warm up Factor the expression.
Discriminant and Quadratic
Aim: What are the properties of a quadratic equation?
The Quadratic Formula..
Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Quadratic Formula Solving for X Solving for quadratic equations.
Warm-Up 8-3: ACT SET 1.
Sum and Product of Roots
PROGRAMME F6 POLYNOMIAL EQUATIONS.
Notes Over 9.6 Quadratic Formula
Warm-Up.
4.6 Quadratic formula.
Section 11.2 The Quadratic Formula.
5.6 – The Quadratic Formula And Ch 5 Review
The Quadratic Formula.
5.9 The Quadratic Formula 12/11/2013.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
5.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Notes Over 9.5 Quadratic Formula
WARM UP 3 EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1). b 2 − 11a b 2 +9a a 2 +8.
Warm-Up 5 minutes Factor the following expressions: 2) x2 - 3x
Algebra 2 10/19/16 EQ: How do I complete the square to solve for x
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Warm Up #4 1. Write 15x2 + 6x = 14x2 – 12 in standard form. ANSWER
The Quadratic Formula..
The Quadratic Formula..
quadratic formula. If ax2 + bx + c = 0 then
Presentation transcript:

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n) when n = 2 4.2(-1)(-x) 3 when x = -3 4

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n) when n = 2 4.2(-1)(-x) 3 when x = -3 3

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n) when n = 2 4.2(-1)(-x) 3 when x = -3 2

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n) when n = 2 4.2(-1)(-x) 3 when x = -3 1

EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n) when n = 2 4.2(-1)(-x) 3 when x = -3 WARM UP 0

GOAL Use the quadratic formula to solve a quadratic equation. KEY WORDS Quadratic formula Vertical Motion model 9.6 Solving Quadratic Equations by the Quadratic Formula

The quadratic formula gives the solutions of ax 2 + bx + c = 0 in terms of the coefficients a, b and c. 9.6 Solving Quadratic Equations by the Quadratic Formula

THE QUADRATIC FORMULA 9.6 Solving Quadratic Equations by the Quadratic Formula

Checkpoint Use the Quadratic Formula. Use the quadratic formula to solve the equation. 1.x 2 – 4x + 3 = 0 2.2x 2 + x - 10 = 0 3.-x 2 + 3x + 4 = Solving Quadratic Equations by the Quadratic Formula