Question

find a real positive root of the equation x^3-7x+5=0 using bisection method

Answer 1

Answer:

Bisection Method Algorithm

Find two points, say a and b such that a < b and f(a)* f(b) < 0.

Find the midpoint of a and b, say “t”

t is the root of the given function if f(t) = 0; else follow the next step.

Divide the interval [a, b]

If f(t)*f(b) <0, let a = t.

Else if f(t) *f(a), let b = t.

More items...

Step-by-step explanation:

Steps / Procedures for Bisection Method:

First, choose lower limit/guess (xL) and the upper limit (xU) for the root such that the function changes sign over the interval. ...

Solve for xR. ...

To get f(xL), substitute the value of xL to the given function. ...

Multiply the f(xL) and f(xR).

Answer 2

Answer:

After 7th iteration

-0.0721