IN MATLAB
Show transcribed image textUse the bisection method to find the square-root of 10 out to 5 decimal places (i.e. to a relative error of 0.00001).
Expert Answer
The bisection method unlike the guess and check starts with two values. It runs for an equation and keeps a check on the estimation. The algorithm maintains it’s state with persistent values.
Convert the sqaure-root into an equation and then solve for the value of S. Here is the illustration of the same:
f=@(S) S^2-10;
xO=0;
a=-5;
b=5;
for i=1:100
c=(a+b)/2;
if f(c)>0
b=c;
else
a=c;
end
end
fprintf(‘%fn’,c)