One who solved my 4th iteration, please sir help me in finding 5th iteration too.
First Iteration:
x0 + x^2 + 25 = 225x^2 = 25, x^2 = 2
f(x) = -3f(x) = 3125f(x) = 2253 - 3225 - 503600
Since f(x) is negative, therefore the root lies between 225 and 25. Since f(x) is negative, therefore x becomes new x and x remains constant.
Second Iteration:
x = 225
x = 25
y = x^2 - 03600
f(x) = 3125 - 1225 + 25 - 2375^2
f(x) = 2375 - 32375 - 512714
Since f(x) is positive, therefore the root lies between 225 and 2375. Since f(x) is positive, therefore x becomes new x and x remains the same.
Third Iteration:
x = 225
x = 2375
y = x^2 + x^2 - 3125
f(x) = -03600
f(x) = 12714
f(x) = 04289
Since f(x) is positive, therefore x becomes new x and x remains the same.
Fourth Iteration:
