Question: Instructions Use intermediate value theorem to prove that the given equation has a root in the interval (1, 4). Obtained eight (8) iterations of the

Instructions Use intermediate value theorem to prove that the given equation has a root in the interval (1, 4). Obtained eight (8) iterations of the Bisection method to compute the approximate root of the equation. Prepare a table for the iterations. x4 - 4x + 4 = 0 Solve on a clean sheet of paper. Take a picture of your answer with complete solution. f(a) = 1, f(4) = 244 Initial Approximation a+b 1+4 2 - = 2.5 2 1st Approximation atXo 4+2.5 X1 = = 3.25 2 2 f(x1) = f(3.25) = (3.25)4 - 4(3.25) + 4 = 102.566406 PLEASE CONTINUE IT UNTIL 8 APPROXIMATIONS EVEN THERE ARE NO ROOT LIE BETWEEN INTERVAL (1,4)

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