Using the bisection method, find the real root of the function $f (x) = - 0.7 x^{2} + 2.5 x + 4.5$ in four iterations, using the initial conditions $x (L) = 5$ and $x (U) = 10$ . Calculate the approximate relative percent error after each iteration.

Question

Using the bisection method, find the real root of the function

f (x) = - 0.7 x^{2} + 2.5 x + 4.5

in four iterations, using the initial conditions

x (L) = 5

and

x (U) = 10

. Calculate the approximate relative percent error after each iteration.

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