SOLVING QUADRATICS DAY 3 (IN THE CALCULATOR) EQ: How can points of intersection be used to solve any equation?

Slides:

Advertisements

Similar presentations

Solving Quadratic Equations Using the Zero Product Property

Advertisements

Solving Quadratic Equations – Graphing Method This presentation explains how to solve quadratic equations graphically. Note that all non-zero terms have.

Solving Quadratic Equations – Graphing Method

6.6 Trig Equations & Inequalities in Quadratic Form.

To solve equations using Intersect method with a graphing calculator Process 1.Enter y 1 = (left side of the equation). ENTER 2.Enter y 2 = (right side.

Calculator Shortcut – Solving Trinomials

Algebra 1: Solving Equations with variables on BOTH sides.

Solve an equation with an extraneous solution

Quadratics Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle.

Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant.

Section 1.2 Linear Equations and Rational Equations

11.3 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA Ex: Rewrite log 5 15 using the change of base formula.

8.5 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA where M, b, and c are positive numbers and b, c do not equal one. Ex: Rewrite log.

Trigonometric Equations M 140 Precalculus V. J. Motto.

Solve an equation with an extraneous solution

Copyright © Cengage Learning. All rights reserved. 4 Quadratic Functions.

Using a Calculator to Solve an Equation. Calculator Function: Finding an Intersection of Two Curves To find the coordinates of the intersection(s) of.

Solving Polynomial Equations – Graphing Method This presentation explains how to solve polynomial equations graphically. The first step is to get the polynomial.

Review of Radicals and Quadratic Equations Lesson 9.1.

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

Quadratic Formula & Discriminant

Solving Quadratic Equations by Factoring January 6, 2015 Pages

SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE BECAUSE GRAPHING IS SOMETIMES INACCURATE, ALGEBRA CAN BE USED TO FIND EXACT SOLUTIONS. ONE OF THOSE.

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

Solving Quadratic Equations using the Quadratic Formula

5 – 2: Solving Quadratic Equations by Factoring Objective: CA 8: Students solve and graph quadratic equations by factoring, completing the square, or using.

4.5 Quadratic Equations Wherever the graph of a function f(x) intersects the x-axis, f(x) = 0. A value of x for which f(x) = 0 is a zero of the function.

Section 1.6 Other Types of Equations. Polynomial Equations.

The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.

Solving Quadratic Equations by Graphing. Essential Question Where are the solutions to quadratic equations located on the graph of the parabola?

WHAT IS A “SOLUTION”? Sect P.5 solving Equations.

UNIT 2: SOLVING EQUATIONS AND INEQUALITIES Final Exam Review.

Solving Linear Equations Substitution. Find the common solution for the system y = 3x + 1 y = x + 5 There are 4 steps to this process Step 1:Substitute.

Systems of Equations A group of two or more equations is called a system. When asked to SOLVE a system of equations, the goal is to find a single ordered.

Algebra Review: Solving Quadratic Equations by Factoring.

Table of Contents First get all nonzero terms on one side. Quadratic Equation: Solving by factoring Example: Solve 6x 2 – 13x = 8. 6x 2 – 13x – 8 = 0 Second.

Solving Quadratic Equations By: Jessica Campos. Solving Quadratic Equations by Graphing F(x)= x 2 -8x+15=0 X=(x-3)(x-5) X=3 and 5 Steps to put into a.

Solving Quadratic Equations Using the Zero Product Property March 18, 2014.

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.

Introduction to Systems of Equations (and Solving by Graphing) Unit 5 Day 3.

The Quadratic Formula November 1, Quadratic Formula Methods to Solve Quadratics Equations Factoring But factoring is only “nice” when there are.

Solving Quadratics Review. We must solve to get x 2 by itself 1 st !

Warm-Up Exercises EXAMPLE 1 Standardized Test Practice What are the solutions of 3x 2 + 5x = 8? –1 and – A 8 3 B –1 and 8 3 C 1 and – 8 3 D 1 and 8 3 SOLUTION.

Warm Up 1. Solve the world problem given to you group. Also use the discriminant to figure out how many solutions your problem would have. 2. Solve using.

Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.

Solving Quadratic Equations by Graphing  Quadratic Equation- A quadratic function set equal to a value, in the form ax 2 +bx+c, where a≠0  Standard.

Section 2.5 – Quadratic Equations

8.5 – Exponential and Logarithmic Equations

Using the Quadratic Formula to Find Solutions

Using the zero product property to solve equations

5.2 Solving Quadratic Equations by Factoring

8.5 – Exponential and Logarithmic Equations

Solving Using Quadratic Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Section 1.2 Linear Equations and Rational Equations

Warm-up: Solve: 2x2 + 4x – 5 = 0 HW : pg (25, 27, 31, 43, 46, 47, 64, 67, 76, 93, 96, 100, , 107, 108,117, 119)

Solving Quadratic Equations by Factoring March 16, 2015

5.1 Solve Systems of Equations by Graphing

Introduction to Systems of Equations (and Solving by Graphing)

What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.

Finding Solutions by graphing

Solving the Quadratic Equation by Completing the Square

Warmup - Simplifying Radicals

Linear and Quadratic Functions

Notes Over Using Radicals

Example 1: Solving Rational Equations

Solving Equations Containing Trinomials

Solving Quadratic Equations by Factoring March 11, 2016

Section 1.6 Other Types of Equations

Presentation transcript:

SOLVING QUADRATICS DAY 3 (IN THE CALCULATOR) EQ: How can points of intersection be used to solve any equation?

Task: Find all of the solutions of the equation using the graphing calculator  I’m being asked to…  I’ll know I have the correct answers if …

 The expression on the left side of the equal sign is ….  The value on the right side of the equal sign is…

Let’s Solve It! Y 1 = __________________________ (Black) Y 2 = __________________________ (Red)

 a. How can you tell by looking at the table what the solutions will be?  b. How can you tell by looking at the graph what the solutions will be?

 c. What are your solutions? X = ________ and X = _________  d. Check your solutions:  e. In what situation would this method NOT work? Why?

Press 2 nd, Calc (Trace button) and look at your different choices.  Which option could be used to find the exact solutions?

First Curve? Second Curve?Guess?

Calc Practice

Ex 1) Solve using the calculator Solutions: _______________________

Ex 2) Solve using the calculator Solutions: _______________________

Summary

Problems with you may encounter: “Error” message: 1) Did you put the equations in correctly? 2) Do you need to change the window? Answer are written in radical form: 1) Do you have enough time to do the quadratic formula? 2) Can you determine which radical expression is equivalent?

Check your solutions:

You Try! Solve for x using the calculator: x(x – 5) = -3x + 1  Do you HAVE to simplify the expressions first?  Do you HAVE to set the equation equal to zero?

#1 Find the left intersection and wait for me to check it!

Find the left intersection and wait for me to check it!