00:01
Hi, in this question using the fast version method to determine the real root of f of x is equal to 4x cube minus 6x square plus 7x minus 2 .3.
00:12
So graphical method to determine the real root of the function graphically we can plot the function of the graph and look for the point where the function crosses this x axis.
00:20
Using a graphing calculator software we can plot the function and find that the real root is approximately 0 .5.
00:29
So this is the answer from graphical method.
00:32
And moving on to second method false position method.
00:35
So the false position method is an iterative approach to finding the roots of the function.
00:39
It involves bracketing the root between two initial guesses and then refining the guesses until the root is found to within a certain tolerance.
00:46
To use the false position method determine the real root of f of x which is equal to 4x cube minus 6x square plus 7x minus 2 .3 to within yeses is equal to 2 .5 percentage.
01:01
We can follow these steps.
01:02
The first step is choose two initial guesses a and b such that f of a is equal and f of b have opposite signs...