NETWONS METHOD DOING THAT JAWN I AM A BO$$ STUDENTS WILL BE ABLE TO USE NEWTON’S METHOD TO FIND THE ROOTS OF ALGEBRAIC EXPRESSIONS.

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Presentation transcript:

NETWONS METHOD DOING THAT JAWN I AM A BO$$ STUDENTS WILL BE ABLE TO USE NEWTON’S METHOD TO FIND THE ROOTS OF ALGEBRAIC EXPRESSIONS

TEACH ME HOW TO NEWTON’S METHOD!!!

USES Approximating the Zeros of a function Finding Intellectual Enlightenment Having Fun

Basic Formula

How to Do It 1) Read the Problem 2) Make a guess of the root 3) Calculate Initial Approximation using this guess 4) Continue until is close to 0

Visual Representation 1) Find where the line tangent to the first guess intersects the x axis 2) Make this the new guess 3) Keep on repeating that jawnslice

Practical Application I’m an expert at Math, so I guess that x=2 Which means… = So we do this again with a guess of -1 = = 0 So we know this is a root

Now let’s get a little harder!

FIND THE SQUARE ROOT OF 2 Guess that x= 1.5 = Guess that x= = THIS IS VERY CLOSE TO THE KNOWN ROOT OF

NOW FOR THE FUN STUFF

Harder Stuff Guess that x=.8 = Make.785 your new guess and repeat = Since the answer only changed by.024, this is very close to a root

HAVE FUN DOING THE CALCULUS