Wednesday, September 24, 2014

Calculator Investagation

This method is the process calculators go through when they calculate the radical of a number, or x. It does this several times, until the number repeats and doesn't change. The formula used is the following: 1/2(x+2/x). When doing the problems, we struggled at first but then eventually got the correct answers. 


4
x=1
1 = 5.1 
     2 = 2.746078431
     3 = 1.737194874
     4 = 1.444238095
     5 = 1.414525655
     6 = 1.414213597
   

5
 x=1
    1 = 1.5
    2 = 1.416666667
    3 = 1.414215686
    4 = 1.414213562
    5 = 1.414213562
    6 = 1.414213562

6.
x=2
    1 = 1.25
    2 = .875
    3 = .6875
    4 = .59375 
    5 = .54675
    6 = .523475

8.
√3 = 1.732050808 (or Ans)
Equation 1: 1/3(Ans+3/Ans) =  1.54700538
Equation 2: 1/3(Ans+2/Ans) = .9622504487
Equation 3: 1/2(Ans+3/Ans) = 1.732050808

√5 = 2.236067977 (or Ans)
1/2(Ans+5/Ans) = 2.236067977

√11 = 3.31662479
1/2(Ans+11/Ans) = 3.31662479

9.
X = 1/2(X + K/X)
2X*2 = Xn*2 + K
X*2 = K
X = square root of K


10.
What you need to do is to change the 1/2 to 1/3 or 1/4 depending if it is a square root (1/2) , cubed root (1/3), et cetera.

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