To add fractions, you need a common denominator. Remember!

Slides:

Advertisements

Similar presentations

Section 7.5 – Graphing Quadratic Functions Using Properties.

Advertisements

If b2 = a, then b is a square root of a.

Solve an equation with variables on both sides

The Quadratic Formula 5-6 Warm Up Lesson Presentation Lesson Quiz

Day 5 Simplify each expression: Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using.

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.

10-3: Solving Quadratic Equations

Absolute Value Inequality

Solving Quadratic Equations by the Quadratic Formula

EXAMPLE 2 Rationalize denominators of fractions Simplify

Solving Quadratic Equations

Algebra 9.5 Solving Quadratic Equations Using the Quadratic Formula This is an important section as there are many questions on the STAR test about the.

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 Solving Quadratic Function By Finding Square Roots 12/14/2012.

Equations Reducible to Quadratic

9-8 The Quadratic Formula Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

1) What does x have to be for 3x = 0? 1) What does x have to be for 3(x -2) = 0 2) What does x have to be for (x–2) (x+3) = 0.

Discriminant Recall the quadratic formula: x = -b ±√ b2 - 4ac 2a.

Algebra 1 Ch.10 Notes Page 81 P Factoring to Solve Quadratic Equations.

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.

10-3 Solving Quadratic Equations. Quadratic Function (y = ax 2 +bx+c) Quadratic Equation ( ax 2 +bx+c=0)

An equation in the form … … can be solved using two methods discussed previously. Solving Equations Containing Trinomials 1.Factoring Method 2.Graphing.

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.

10-4 Solving Quadratic Equations by Using the Quadratic Formula

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.

Example 1A Solve the equation. Check your answer. (x – 7)(x + 2) = 0

11-2 Solving Quadratic Equations By Graphing

SOLVING QUADRATIC EQUATIONS Factoring Method. Warm Up Factor the following. 1. x 2 – 4x – x 2 + 2x – x 2 -28x + 48.

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

2.1 – Linear and Quadratic Equations Linear Equations.

Use the substitution method

6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.

Notes Over 5.6 Quadratic Formula

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.

EXAMPLE 3 Use the quadratic formula y = 10x 2 – 94x = 10x 2 – 94x – = 10x 2 – 94x – 300 Write function. Substitute 4200 for y. Write.

Section )by graphing (using the calculator to identify the roots (x-intercepts)) 2)by factoring 3)by “completing the square” 4)by Quadratic Formula:

Lesson 4 Contents 11-3 Solving Quadratic Equations by Using the Quadratic Formula Objectives 1. Solve quadratic equations by using the Quadratic Formula.

Table of Contents Solving Equations That Lead to Quadratic Equations There are several methods one can use to solve a quadratic equation. Sometimes we.

Solving Equations That Lead to Quadratic Equations There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to.

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.

Algebra 1 EOC Summer School Lesson 13: Solve Quadratic Equations.

10.6 solving quadratic equations by factoring Solve x 2 + 2x – 3 using the quadratic formula X = 1 & -3 Now, factor the same equation (x + 3)(x – 1) Set.

Notes Over 9.4 Checking a Solution Using a Graph The solution, or roots of an equation are the x-intercepts. Solve the equation algebraically. Check the.

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.

Splash Screen. Then/Now You solved quadratic equations by completing the square. Solve quadratic equations by using the Quadratic Formula. Use the discriminant.

Skill Check Factor each polynomial completely.. 5-1: Solving Quadratic Equations by Factoring By Mr. Smith.

Solving Linear Equations

1. Add: 5 x2 – 1 + 2x x2 + 5x – 6 ANSWERS 2x2 +7x + 30

Chapter 6 Conic Sections

EXAMPLE 2 Rationalize denominators of fractions Simplify

Properties of Functions

Solve an equation with two real solutions

A quadratic equation is written in the Standard Form,

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Solve a system of linear equation in two variables

Unit 7 Day 4 the Quadratic Formula.

5.6 – The Quadratic Formula And Ch 5 Review

Solving Systems of Equations using Substitution

2 Understanding Variables and Solving Equations.

2 Understanding Variables and Solving Equations.

Solving Multi-Step Equations

3.5 Solving Nonlinear Systems

Quadratic Equations.

Example 1A: Graphing by Using Slope and y-intercept

Notes Over Using Radicals

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

Lesson 5–5/5–6 Objectives Be able to define and use imaginary and complex numbers Be able to solve quadratic equations with complex roots Be able to solve.

Presentation transcript:

To add fractions, you need a common denominator. Remember!

Example 1A: Using the Quadratic Formula Solve using the Quadratic Formula. 6x 2 + 5x – 4 = 0 6x 2 + 5x + (–4) = 0 Identify a, b, and c. Use the Quadratic Formula. Simplify. Substitute 6 for a, 5 for b, and –4 for c.

Solve using the Quadratic Formula. 6x 2 + 5x – 4 = 0 Write as two equations. Solve each equation.

Example 1B: Using the Quadratic Formula x 2 = x x 2 + (–1x) + (–20) = 0 Write in standard form. Identify a, b, and c. Use the quadratic formula. Simplify. Substitute 1 for a, –1 for b, and –20 for c.

Example 1B Continued x = 5 or x = –4 Simplify. Write as two equations. Solve each equation. x 2 = x + 20

1x 2 – 9x + 20 = 0 x = 5 or x = 4 Solve x 2 – 9x + 20 = 0. Show your work.

Check It Out! Example 5a Solve. Show your work. x 2 + 7x + 10 = 0 Method 1 Solve by graphing. y = x 2 + 7x + 10 Write the related quadratic function and graph it. The solutions are the x-intercepts, –2 and –5.

Check It Out! Example 5a Continued Method 2 Solve by factoring. x 2 + 7x + 10 = 0 (x + 5)(x + 2) = 0 x + 5 = 0 or x + 2 = 0 x = –5 or x = –2 Factor. Use the Zero Product Property. Solve each equation. Solve. Show your work. x 2 + 7x + 10 = 0