Question

perform three iteration of the bisection method compute the positive root of the equation x²-5x+2


​

Answer 1

Answer:

Step-by-step explanation:

Given : x²- 5x + 2.

To find : root of the equation by Bisection method.

Solution: x²- 5x + 2 = 0. x = 0 => 0 - 0 + 2 = 2. x = 1 => 1 - 5 + 2 = - 2. 0 lies between 2 and - 2. Hence x lies between 0 and 1. (0 + 1)/2 = 0.5. x = 0.5 => 0.5² - 5(0.5) + 2 = -0.25. 0 lies between -0.25 and 2. => x lies between 0 and 0.5.