/
2.1- Solving Equations Graphically 2.1- Solving Equations Graphically

2.1- Solving Equations Graphically - PowerPoint Presentation

marina-yarberry
marina-yarberry . @marina-yarberry
Follow
462 views
Uploaded On 2017-10-10

2.1- Solving Equations Graphically - PPT Presentation

Mathematical Language A solution of an equation is a number that make the equation true 3x217 To solve an equation means to find all its solution Two equations are equivalent if they have the same solutions ID: 594806

quadratic equation equations solving equation quadratic solving equations square method intercept solutions root sides formula input side intersection solution find

Share:

Link:

Embed:

Download Presentation from below link

Download Presentation The PPT/PDF document "2.1- Solving Equations Graphically" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Slide1

2.1- Solving Equations GraphicallySlide2

Mathematical Language

A

solution

of an equation is a number that make the equation true3x+2=17To solve an equation means to find all its solution

Two equations are equivalent if they have the same solutions

3x+2=17 and x-2=3

How could you change the first equation to get to the second?Slide3

The Intersection Method

We are trying to find a

x

that makes the left side equal to the right side

F

ind a input, a x-value, that makes the two outputs, the y

values

, the same.

Separate:

Check:

This input will be the x-coordinate of the intersection

point between the two graphsSlide4

The x-intercept MethodSlide5

Example 2: Solving an Equation by Using the

x-Intercept

MethodSlide6

Making Things Easier: Technological QuirksSlide7

2.2 Solving Quadratic Equations Algebraically

Factoring

Taking the square root of both sides of the equation

Completing the squareUsing the quadratic formulaSlide8

Example 1: Solving a Quadratic Equation by FactoringSlide9

Taking the Square Root of Both Sides of an Equation

Why do we do plus or minus

Think of an equation that would have no solutionsSlide10

Solving a Quadratic Equation by Completing the Square

Notice no coefficient in front of x^2Slide11

The Quadratic Formula: Our FriendSlide12

2.2 Hmwr

: p. 1-11odd, 19-33odd, 47-55odd