2. 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

3. TEACH ME HOW TO NEWTON’S METHOD!!!

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

5. Basic Formula

6. 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

7. 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

8. 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

9. Now let’s get a little harder!

10. FIND THE SQUARE ROOT OF 2 Guess that x= 1.5 = Guess that x= 1.417 = THIS IS VERY CLOSE TO THE KNOWN ROOT OF 1.4142

11. NOW FOR THE FUN STUFF

12. 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

13. HAVE FUN DOING THE CALCULUS