f(p₁) P3 a-a₁ P2 P P b=b₁ f(p2) f(a) a P₁ a₂ P2 az P3 by 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 p=a+(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. unlind in Step 4 of Algorithm 2.1 or in any c