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niwde
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Hi, anyone can advise how to solve a 4th order equation with trial and error method?
This is the equation:
3s^4 + 10s^3 + 21s^2 + 24s - 16 = 0
This is the equation:
3s^4 + 10s^3 + 21s^2 + 24s - 16 = 0
The 4th order trial and error method is a numerical technique used to solve equations that cannot be solved algebraically. It involves repeatedly guessing a value and using that value to find a better approximation of the solution.
The 4th order trial and error method starts by choosing a guess value for the solution. This value is then used to calculate a new value using the given equation. This process is repeated until the calculated value is close enough to the actual solution, usually within a predetermined tolerance level.
The 4th order trial and error method is different from other numerical methods because it uses a 4th order polynomial to improve the accuracy of the solution. This means that it requires fewer iterations to reach a more accurate solution compared to other methods.
The 4th order trial and error method should be used when an equation cannot be solved algebraically and when other numerical methods, such as the bisection method or Newton's method, are not suitable or do not converge to a solution.
Yes, there are limitations and drawbacks to using the 4th order trial and error method. It may not converge to a solution if the initial guess is not close enough to the actual solution. It also requires a significant amount of computational effort compared to other numerical methods. Additionally, it may not work well for equations with multiple roots or non-real solutions.