Quadratic and Cubic Equation Solver System

This program enable user to solve quadratic equation and cubic equation by using fixed point iteration approach.

Target

• find the root of the quadratic equation using the fixed-point iteration approach.
• find the root of the cubic equation using the fixed-point iteration approach.

Formula

Fixed point iteration formula is 𝑥𝑘+1 = 𝐹(𝑥𝑘), (1)

where 𝑘 = 0, 1, 2,3, . .. is the kth iteration.

Think about k as the counter variable in a while�loop, do-while loop, for-loop and 𝐹( )is some function depending on 𝑥𝑘, the previous iterate.

Refer to this document for more explanation.

Task

1. Write a program with a menu that gives the option to the user to either choose to solve a quadratic equation or a cubic equation.

2. You should use functions to solve this.

• CubicEqn()
• createQuadEqn(),
• fixedPointQuad()
• fixedPointCube()

The explanation of the functions are as follows:

createQuadEqn()

• This function will create a random quadratic equation. It will show the respective quadratic equation to the user.

createCubicEqn()

• All the requirements for this function is the same as the createQuadEqn(). The only difference is that this function creates a cubic equation instead of a quadratic equation.

• For the discriminant of a cubic equation, you may refer to https://brilliant.org/wiki/cubic-discriminant/. Take the case where you only have real roots.

fixedPointQuad()

• This is the main function to find the root of the quadratic equation using the fixed-point iteration approach.

Addition task

1. Prompt the user with some background before computing the root.

2. Users can input the number of iterations of the fixed-point iteration, and the initial value.

3. fixedPointCube(): All requirements are the same for this function. The difference is now that this function is a separate function that is used to solve the cubic equation.

Finally, do test your program for the right answers! check the roots obtained by your program with a calculator or an online site that can calculate roots for both quadratic and cubic equations.

Good Luck!

Contributing

Contributions are always welcome!

See contributing.md for ways to get started.

Please adhere to this project's code of conduct.

Feedback

If you have any feedback, please reach out to us at [email protected]