Enter equations in text form in the console, supporting single-variable polynomial equations and multi-variable linear equations. It supports +, -, *, /, ^ operations, and can perform high-precision solutions. It implements the function of an equation solver, simplifying the cumbersome manual calculation process.
- The equation text is retrieved and analyzed by a lexical analyzer to construct a
binary tree, which enables the analysis and processing of the text expression. - Subsequently, the type and solution method of the equation are determined based on the text expression.
- If it is a
single-variableequation, the equation's degree is determined by the analytical result of the equation.- If it is a
quadraticorcubicequation, the solution is obtained using the formula method. - If it is a
linearequation or ahigher-degreeequation, the Newton-Raphson iteration method is used to find the approximate root.
- If it is a
- If it is a
multi-variableequation, the augmented matrix is extracted.- If the equation has a
unique solution, Cramer's rule is applied to solve it. - If there are
multiple solutionsorno solution, elementary row operations are used to find the particular solution.
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- If the equation has a
- If it is a