Question

Finding the real root of an
equation by method of false
position, two points x, and
xi are such that, f(x)
and f(x)​

Answer 1

Answer:

Finding the real root of an

equation by method of false

position, two points x, and

xi are such that, f(x)

and f(x)​

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Show that f(x) = x3 + 3x - 5 has a root in [1,2], and use the Regula Falsi Method to determine an approximation to the root that is accurate to at least within 10-6.

Now, the information required to perform the Regula Falsi Method is as follow:

f(x) = x3 + 3x - 5,

Lower Guess a = 1,

Upper Guess b = 2,

And tolerance e = 10-6

We know that f(a) = f(1) = -1 (negative) and f(b) = f(2) = 9 (positive) so the Intermediate Value Theorem ensures that the root of the function f(x) lies in the interval [1,2]