Sullivan Algebra and Trigonometry: Section 1.3

Slides:



Advertisements
Similar presentations
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
Advertisements

7.1 – Completing the Square
4.8 Quadratic Formula and Discriminant
9.4 – Solving Quadratic Equations By Completing The Square
Bell Ringer: Find the zeros of each function.
Sullivan Algebra and Trigonometry: Section 1.3 Quadratic Equations in the Complex Number System Objectives Add, Subtract, Multiply, and Divide Complex.
Solving Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant.
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
5.6 Quadratic Formula & Discriminant
Sullivan Algebra and Trigonometry: Section 1.2 Quadratic Equations Objectives of this Section Solve a Quadratic Equation by Factoring Know How to Complete.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
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.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x Solve for x by completing the square.
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.
Section 1.4 – Quadratic Equations
1 Algebra 2: Section 5.6 The Quadratic Formula & the Discriminant.
More about Quadratic Equations November 16, 2009.
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.
ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.
Solving a Trigonometric Equation Find the general solution of the equation.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
1.3 Quadratic Equations College Algebra: Equations and Inequalities.
Notes Over 5.6 Quadratic Formula
Solve polynomial equations with complex solutions by using the Fundamental Theorem of Algebra. 5-6 THE FUNDAMENTAL THEOREM OF ALGEBRA.
Section )by graphing (using the calculator to identify the roots (x-intercepts)) 2)by factoring 3)by “completing the square” 4)by Quadratic Formula:
ANSWERS!. Completing the Square Level 1 Answers Completing the Square Level 2 Answers.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
Factoring & Solving Quadratics Equations Intermediate Algebra Final Exam Review.
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.
9.4 Solving Quadratic Equations Standard Form: How do we solve this for x?
2.2 Solving Quadratic Equations Algebraically Quadratic Equation: Equation written in the form ax 2 + bx + c = 0 ( where a ≠ 0). Zero Product Property:
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.
5.6 Quadratic Formula & Discriminant
How do I solve quadratic equations using Quadratic Formula?
The Quadratic Formula and the Discriminant
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 –
Lesson 5.6: The Quadratic Formula & the Discriminant
Sullivan Algebra and Trigonometry: Section 1.2 Quadratic Equations
Solving Quadratic Equations by the Complete the Square Method
Solve Quadratic Equations by the Quadratic Formula
Use the Quadratic Formula and the Discriminant
Solve x2 + 2x + 24 = 0 by completing the square.
Section 5.8 The Quadratic Formula
5.6 The Quadratic Formula and the Discriminant
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
4.8 The Quadratic Formula and the Discriminant
Unit 7 Day 4 the Quadratic Formula.
4.8 Use the Quadratic Formula & the Discriminant
Algebra 1 Section 12.5.
Class Notes 11.2 The Quadratic Formula.
Warm up – Solve by Completing the Square
The Quadratic Formula.
Section 5.8 The Quadratic Formula
Quadratic Formula & the Discriminant
Review: Simplify.
Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.
Quadratic Equations.
5.6 Quadratic Formula & Discriminant
3.4 – The Quadratic Formula
Questions over HW?. Skills Check Radical Operations and Solving by Square Roots after HW Check.
Algebra 9.6 The Discriminant.
Section 4.7 – Quadratic Formula
Using the Quadratic Formula to Solve Quadratic Equations
9-5 Factoring to Solve Quadratic Equations
Quadratic Formula & Discriminant
1.) What is the value of the discriminant?
Presentation transcript:

Sullivan Algebra and Trigonometry: Section 1.3 Objectives of this Section Solve a Quadratic Equation by Factoring Know How to Complete the Square Solve a Quadratic Equation by Completing the Square Solve a Quadratic Equation Using the Quadratic Formula Solve Applied Problems

A quadratic equation is an equation equivalent to one of the form where a, b, and c are real numbers and a isn’t zero.

Solve the following equation using factoring Solution Set:

Solve: ( ) x + = 2 25 Solution set: {-7, 3}

Solve the following equation by completing the square:

Theorem Quadratic Formula

Discriminant of a Quadratic Equation

Find the real solutions, if any, of the following quadratic equation: