I'm going to assume bisection method is the same as halving the interval:

You have two points, one positive, one negative, e.g. (0,3) and (4, -4).

Then you bisect this interval and your new x value is x = (0+4)/2 = 2

For example if you sub in x = 2 you get y = 1.5, that means x = 2 is a closer approximation to the root than x = 0 because y = 1.5 is closer than y = 3 to the x axis (the root). So your new interval becomes 2 < x < 4

Hope this helped, don't know how else to explain it.

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