Notes Over 5.6 Quadratic Formula

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

13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.

4.8: Quadratic Formula HW: worksheet

Section 3.2 Beginning on page 104

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.

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)

5.6 Quadratic Formula & Discriminant

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.

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.

5.9 The Quadratic Formula 1/30/2013. Quadratic Formula: Is used to solve quadratic equations that cannot be solved using the “Big X” method. The equation.

The Quadratic Formula & Discriminant Essential question – How do you solve a quadratic equation using the Quadratic Formula?

More about Quadratic Equations November 16, 2009.

Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant.

Quadratic Formula You can use this formula to find the solutions(roots) to a quadratic equation. This formula can be broken up into 2 parts: b 2 – 4ac.

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.

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

2.1 – Linear and Quadratic Equations Linear Equations.

4.8 “The Quadratic Formula” Steps: 1.Get the equation in the correct form. 2.Identify a, b, & c. 3.Plug numbers into the formula. 4.Solve, then simplify.

Section 1.5 Day 1– Complex Numbers After this section you should be able to: Simplify expressions using IMAGINARY NUMBERS.

EXAMPLE 1 Solve an equation with two real solutions Solve x 2 + 3x = 2. x 2 + 3x = 2 Write original equation. x 2 + 3x – 2 = 0 Write in standard form.

QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.7 The Quadratic Formula EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE.

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.

5.6 Quadratic Formula & Discriminant

How do I solve quadratic equations using 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.

Lesson 5.6: The Quadratic Formula & the Discriminant

The Quadratic Formula & Discriminant

The Quadratic Formula..

Quadratic Formula Solving for X Solving for quadratic equations.

Solving Quadratic Equations by the Complete the Square Method

The QUADRATIC Discriminant.

Complex integers? Here a and b are integers.

Solve Quadratic Equations by the Quadratic Formula

4.6 Quadratic formula.

Solve an equation with two real solutions

Sullivan Algebra and Trigonometry: Section 1.3

A quadratic equation is written in the Standard Form,

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

Section 5.8 The Quadratic Formula

5.6 The Quadratic Formula and the Discriminant

4.8 The Quadratic Formula and the Discriminant

Unit 7 Day 4 the Quadratic Formula.

4.8 Use the Quadratic Formula & the Discriminant

Class Notes 11.2 The Quadratic Formula.

Warm up – Solve by Completing the Square

The Quadratic Formula.

Section 5.8 The Quadratic Formula

5.9 The Quadratic Formula 12/11/2013.

Warm Up Solve: (x – 4)(2x – 1) = 0 2. Solve: x² – 9x = 36.

Quadratic Formula & the Discriminant

Aim: How do we use quadratic formula to solve equation?

Review: Simplify.

Quadratic Equations.

5.6 Quadratic Formula & Discriminant

3.4 – The Quadratic Formula

Warm Up #4 1. Write 15x2 + 6x = 14x2 – 12 in standard form. ANSWER

Using the Quadratic Formula to Solve Quadratic Equations

Quadratic Formula & Discriminant

The Quadratic Formula..

Warm Up Using the quadratic formula find the zeros of the following:

The Quadratic Formula..

Presentation transcript:

Notes Over 5.6 Quadratic Formula The solutions of the quadratic equation are given by the Quadratic Formula:

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with Two Real Solutions Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with Two Real Solutions Use the quadratic formula to solve the equation.

Notes Over 9.5 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with Two Real Solutions Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with One Real Solution Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with One Real Solution Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with One Real Solution Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with Two Imaginary Solution Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with Two Imaginary Solution Use the quadratic formula to solve the equation.

Notes Over 5.6 Use the quadratic formula to solve the equation. Solving a Quadratic Equation with Two Imaginary Solution Use the quadratic formula to solve the equation.

Notes Over 5.6