Example 4.  Not a root located  Find the solution to the equation  [Graphics:Images/BisectionMod_gr_813.gif].  Use the starting interval  [Graphics:Images/BisectionMod_gr_814.gif].  

Solution 4.

[Graphics:../Images/BisectionMod_gr_815.gif]

k

[Graphics:../Images/BisectionMod_gr_816.gif]

[Graphics:../Images/BisectionMod_gr_817.gif]

[Graphics:../Images/BisectionMod_gr_818.gif]

[Graphics:../Images/BisectionMod_gr_819.gif]

[Graphics:../Images/BisectionMod_gr_820.gif]

[Graphics:../Images/BisectionMod_gr_821.gif]

[Graphics:../Images/BisectionMod_gr_822.gif]

[Graphics:../Images/BisectionMod_gr_823.gif]

[Graphics:../Images/BisectionMod_gr_824.gif]

[Graphics:../Images/BisectionMod_gr_825.gif]

[Graphics:../Images/BisectionMod_gr_826.gif]

[Graphics:../Images/BisectionMod_gr_827.gif]

[Graphics:../Images/BisectionMod_gr_828.gif]

[Graphics:../Images/BisectionMod_gr_829.gif]

[Graphics:../Images/BisectionMod_gr_830.gif]

[Graphics:../Images/BisectionMod_gr_831.gif]

[Graphics:../Images/BisectionMod_gr_832.gif]

[Graphics:../Images/BisectionMod_gr_833.gif]

[Graphics:../Images/BisectionMod_gr_834.gif]

[Graphics:../Images/BisectionMod_gr_835.gif]

[Graphics:../Images/BisectionMod_gr_836.gif]

[Graphics:../Images/BisectionMod_gr_837.gif]

[Graphics:../Images/BisectionMod_gr_838.gif]

[Graphics:../Images/BisectionMod_gr_839.gif]

[Graphics:../Images/BisectionMod_gr_840.gif]

[Graphics:../Images/BisectionMod_gr_841.gif]

[Graphics:../Images/BisectionMod_gr_842.gif]

[Graphics:../Images/BisectionMod_gr_843.gif]

[Graphics:../Images/BisectionMod_gr_844.gif]

[Graphics:../Images/BisectionMod_gr_845.gif]

[Graphics:../Images/BisectionMod_gr_846.gif]

[Graphics:../Images/BisectionMod_gr_847.gif]

[Graphics:../Images/BisectionMod_gr_848.gif]

[Graphics:../Images/BisectionMod_gr_849.gif]

[Graphics:../Images/BisectionMod_gr_850.gif]

[Graphics:../Images/BisectionMod_gr_851.gif]

[Graphics:../Images/BisectionMod_gr_852.gif]

[Graphics:../Images/BisectionMod_gr_853.gif]

[Graphics:../Images/BisectionMod_gr_854.gif]

[Graphics:../Images/BisectionMod_gr_855.gif]

[Graphics:../Images/BisectionMod_gr_856.gif]

[Graphics:../Images/BisectionMod_gr_857.gif]

[Graphics:../Images/BisectionMod_gr_858.gif]

[Graphics:../Images/BisectionMod_gr_859.gif]

[Graphics:../Images/BisectionMod_gr_860.gif]

[Graphics:../Images/BisectionMod_gr_861.gif]

[Graphics:../Images/BisectionMod_gr_862.gif]

[Graphics:../Images/BisectionMod_gr_863.gif]

[Graphics:../Images/BisectionMod_gr_864.gif]

[Graphics:../Images/BisectionMod_gr_865.gif]

[Graphics:../Images/BisectionMod_gr_866.gif]

[Graphics:../Images/BisectionMod_gr_867.gif]

[Graphics:../Images/BisectionMod_gr_868.gif]

[Graphics:../Images/BisectionMod_gr_869.gif]

[Graphics:../Images/BisectionMod_gr_870.gif]

[Graphics:../Images/BisectionMod_gr_871.gif]

[Graphics:../Images/BisectionMod_gr_872.gif]

[Graphics:../Images/BisectionMod_gr_873.gif]

[Graphics:../Images/BisectionMod_gr_874.gif]

[Graphics:../Images/BisectionMod_gr_875.gif]

[Graphics:../Images/BisectionMod_gr_876.gif]

[Graphics:../Images/BisectionMod_gr_877.gif]

[Graphics:../Images/BisectionMod_gr_878.gif]

[Graphics:../Images/BisectionMod_gr_879.gif]

[Graphics:../Images/BisectionMod_gr_880.gif]

[Graphics:../Images/BisectionMod_gr_881.gif]

[Graphics:../Images/BisectionMod_gr_882.gif]

[Graphics:../Images/BisectionMod_gr_883.gif]

[Graphics:../Images/BisectionMod_gr_884.gif]

[Graphics:../Images/BisectionMod_gr_885.gif]

[Graphics:../Images/BisectionMod_gr_886.gif]

[Graphics:../Images/BisectionMod_gr_887.gif]

[Graphics:../Images/BisectionMod_gr_888.gif]

[Graphics:../Images/BisectionMod_gr_889.gif]

[Graphics:../Images/BisectionMod_gr_890.gif]

[Graphics:../Images/BisectionMod_gr_891.gif]

[Graphics:../Images/BisectionMod_gr_892.gif]

[Graphics:../Images/BisectionMod_gr_893.gif]

[Graphics:../Images/BisectionMod_gr_894.gif]

[Graphics:../Images/BisectionMod_gr_895.gif]

[Graphics:../Images/BisectionMod_gr_896.gif]

[Graphics:../Images/BisectionMod_gr_897.gif]

[Graphics:../Images/BisectionMod_gr_898.gif]

[Graphics:../Images/BisectionMod_gr_899.gif]

[Graphics:../Images/BisectionMod_gr_900.gif]
[Graphics:../Images/BisectionMod_gr_901.gif]
[Graphics:../Images/BisectionMod_gr_902.gif]

[Graphics:../Images/BisectionMod_gr_903.gif]

Note. The bisection method located a pole of  [Graphics:../Images/BisectionMod_gr_904.gif].  This is where the graph has a vertical asymptote.

[Graphics:../Images/BisectionMod_gr_905.gif]

[Graphics:../Images/BisectionMod_gr_907.gif]

Animation 2.  ( Bisection Method  Bisection Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004