Suppose you wish to solve the equation for x. Rearrange this equation to get an appropriate fixed point iteration method. Then write a program to get an approximate value of the root of the equation. The initial guess must be entered by the user. Your programme must be able to flag a warning message if the initial guess is too far from the exact root. In that case, your program must be able to suggest an initial guess to the user. Terminate the program and print the current value of the root as soon as the difference between two successive approximations becomes smaller than 0.005
To solve the equation \( x^5 + 3x^2 - 10 = 0 \) using fixed-point iteration, we can rearrange the equation to isolate \( x \) on one side:
\[ x = \left( \frac{10}{x^5 + 3x^2} \right)^{\frac{1}{5}} \]
This equation can be used iteratively to approximate the root of the original equation. Here's a program in C to implement this method:
#include <stdio.h>
#include <math.h>
// Function to calculate the value of the equation at a given x
double equation(double x) {
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