Warm UP Take a few minutes and write 5 things you remember about the quadratic formula?? Take a few minutes and write 5 things you remember about the quadratic.

Slides:



Advertisements
Similar presentations
Quadratic Functions, Quadratic Expressions, Quadratic Equations
Advertisements

Solving Quadratic Equations by Graphing
If b2 = a, then b is a square root of a.
Day 5 Simplify each expression: Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using.
The Quadratic Formula..
WARM UP 1) Complete the square x 2 – 14x + ____ 2) Solve by completing the square x x + 14 = 0.
10-3: Solving Quadratic Equations
Solving Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations by the Quadratic Formula
Sec 5.6 Quadratic Formula & Discriminant Quadratic Formula (Yes, it’s the one with the song!) If ax 2 + bx + c = 0 and a ≠ 0, then the solutions (roots)
Objectives: To solve quadratic equations using the Quadratic Formula. To determine the number of solutions by using the discriminant.
Warm up – Solve by Taking Roots. Solving by the Quadratic Formula.
Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant.
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.
Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:
Using the factoring method, what are the solutions of y = x 2 + 5x + 6.
Algebra 1B Chapter 9 Solving Quadratic Equations The Discriminant.
Solving Quadratic Equations
Objective - To use the discriminant to determine the number of real solutions for a quadratic. Quadratic FormulaDiscriminant Used to find the roots of.
CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson.
9-9 The Discriminant Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. 1 Chapter 3 Quadratic Functions and Equations.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
3.8 Warm Up Write the function in vertex form (by completing the square) and identify the vertex. a. y = x² + 14x + 11 b. y = 2x² + 4x – 5 c. y = x² -
X-Intercepts/Roots: Discriminant and the Quadratic Formula 1. Review: X-Intercepts are the Roots or Solutions x y Y = f(x) = 0 at the x-intercepts (curve.
Learning Target: Students will solve quadratic equations using the quadratic formula in mathematical and real-world situations and use the determinant.
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.
Discriminant Recall the quadratic formula: x = -b ±√ b2 - 4ac 2a.
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.
The Quadratic Formula & Discriminant Essential question – How do you solve a quadratic equation using the Quadratic Formula?
1 Algebra 2: Section 5.6 The Quadratic Formula & the Discriminant.
What you will learn How to solve a quadratic equation using the quadratic formula How to classify the solutions of a quadratic equation based on the.
6-2 Solving Quadratic Equations by Graphing
To add fractions, you need a common denominator. Remember!
Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing.
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.
Roots, Zeroes, and Solutions For Quadratics Day 2.
Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
CPM Section 9.4A Quadratic Formula. Thus far we have considered two methods for solving quadratic function- factoring and using the square root property.
10-4 Solving Quadratic Equations by Using the Quadratic Formula
Bell Work Solve the Equation by Factoring or using Square Roots: Solve the equation by using the quadratic formula: 3. Identify the parts of a parabola:
11-2 Solving Quadratic Equations By Graphing
Section 5-4(e) Solving quadratic equations by factoring and graphing.
SOLVING QUADRATIC EQUATIONS Factoring Method. Warm Up Factor the following. 1. x 2 – 4x – x 2 + 2x – x 2 -28x + 48.
Warm-Up: Solve each equation. Essential Question  How do I use the quadratic formula?
4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.
Warmups Factor. 9-6 Quadratic Formula Objective: To solve a quadratic equation using the quadratic formula.
6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.
Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.
Table of Contents Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula.
Section )by graphing (using the calculator to identify the roots (x-intercepts)) 2)by factoring 3)by “completing the square” 4)by Quadratic Formula:
Evaluate
ALGEBRA 1 SECTION 10.7 Interpret the Discriminant Big Idea: Determine the number of solutions to a quadratic equation. Essential Question: How do you use.
Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D
Warm-Up Solve each equation by factoring. 1) x x + 36 = 02) 2x 2 + 5x = 12.
9.4 Solving Quadratic Equations Standard Form: How do we solve this for x?
SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA. USE THE DISCRIMINANT TO DETERMINE THE NUMBER AND TYPE OF ROOTS OF A QUADRATIC EQUATION. 5.6 The.
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 –
Warm up – Solve by Taking Roots
5-Minute Check Lesson 4-2 Answer: 2
Solving Quadratic Equations by Graphing
Solve x2 + 2x + 24 = 0 by completing the square.
Unit 7 Day 4 the Quadratic Formula.
1. Use the quadratic formula to find all real zeros of the second-degree polynomial
Warm-Up 5 minutes Solve by completing the square. 1) x2 – 10x + 23 = 0
Skills Check Solve by Factoring and Square Roots
Warm-up  .
  Warm Up:.
Warm Up Using the quadratic formula find the zeros of the following:
Presentation transcript:

Warm UP Take a few minutes and write 5 things you remember about the quadratic formula?? Take a few minutes and write 5 things you remember about the quadratic formula?? Be ready to share with your neighbor.

The Quadratic Formula 4-7

Vocabulary Quadratic Formula: Quadratic Formula: the roots (solutions) are exactly the x-intercepts of the quadratic function, that is the intersection between the graph of the quadratic function with the x-axis.

Discriminant The discriminant of a quadratic equation in the form of is the value of the expression

Discriminant Positive Zero Negative 2 real solutions /roots/ x-intercepts 1 real solution /root/ x-intercept 0 real solutions /roots/ x-intercepts

1) Find the Discriminant. Determine the number of real solutions. The discriminant is positive. The equations has two real solutions.

2) T.O.O. - Find the Discriminant. Determine the number of real solutions. -4, No Real Solutions -23, No real solutions

3) What are the solutions? Use the Quadratic formula.

4) What are the solutions? Use the Quadratic formula. or

5) T.O.O. - What are the solutions? Use the Quadratic formula.

Homework WORKSHEET 4-7