Preparation open tasks for the exam in Mathematical Analysis. BISECTION METHOD 1. Using the bisection method within three steps and initial interval [3, 4], find a decimal approximation of 100 and estimate the error of the approximation. Sample solution: We use the interval [3, 4] as our initial interval. Since we are considering the fourth root, to determine whether the approximation is an overestimate or an underestimate, we will examine the fourth power of the approximation. Step 1 Interval Midpoint Power of 4 [3, 4] 3.5 (3.5) 10 [3, 3.5] 3.25 (3.25) > 10 [3, 3.25] 3.125 (2.125)