Bisection To find a solution to f(x) = 0 given the continuous function f on the interval [a, b], where f (a) and f(b) have opposite signs: INPUT endpoints a, b; tolerance TOL; maximum number of iterations No. OUTPUT approximate solution p or message of failure. Step 1 Set i = 1; FA = f (a). Step 2 While i ≤No do Steps 3-6. Step 3 Set pa+(b-a)/2; (Compute pi.) FP = f(p). Step 4 If FP=0 or (b-a)/2 < TOL then OUTPUT (p); (Procedure completed successfully.) STOP. Step 5 Set i=i+1. Step 6 If FA FP > 0 then set a = p; (Compute a¡, b;.) FA = FP else set b=p. (FA is unchanged.) Step 7 OUTPUT (Method failed after No iterations, No =', No); (The procedure was unsuccessful.) STOP.