Question: Consider the equation a2 + y2 + 2ay n 1 = n 2; where n = 20 and a = 0:5. i) Solve the equation

Consider the equation a2 + y2 + 2ay n 1 = n 2; where n = 20 and a = 0:5. i) Solve the equation mathematically. Can you propose a closed form for the root of the equation? If so, nd the closed form for the root? ii) Rewrite the equation as f(y) = a2 + y2 + 2ay n1 (n 2). Use bisection search and nd numerically the root of the function on [0; 100].

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