Find an approximate solution to an equation

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Reference no: EM132210097

Write a program which finds an approximate solution to an equation f(x) = 0 for some function f. Use the bisection method.

To solve the problem using this method first find two values of x, A and B, such that when evaluated in the function f(x) they give opposites signs for the y value.

If f(x) is continuous between these two values then we know that there is at least one x which evaluates to a 0 y value, which is between these two values A and B.

Treat the positive value as an upper bound and the negative value as a lower bound.

Divide the space between A and B in half and evaluate the function at that new point. If the value is positive than it replaces the existing upper-bound and if it is negative it replaces the existing lower-bound.

Continue dividing the space between the upper-bound and lower-bound in half and evaluating this new value and generating new upper and lower bounds as the case may be.

Continue the evaluation process until the x value that you are plugging into the function evaluates to a y value that is zero plus or minus .0000001.

Reference no: EM132210097

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