The equation rs + 122.3-130 = 0 is known to have a real root near x = 2. Three iterative schemes are proposed to find this root: 5 (i) rk +1 = 1304"-12x-i (ii) xk (ili) Tk +,-/130/( + 12) (a) Which of these schemes could be used to solve this equation, and why? (b) Which scheme should be used, and why? (c) Derive an even better scheme, and explain why it is better