Algebra Calculator

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Explanation of the Algebra Calculator:

1. Linear Equation Solver:
   • This solver handles equations of the form ax+b=0ax + b = 0ax+b=0. The formula to solve for xxx is x=−bax = -\frac{b}{a}x=−ab​.
   • If a=0a = 0a=0, it returns a message stating that there is no solution.
2. Quadratic Equation Solver:
   • The quadratic equation is of the form ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0.
   • The discriminant (b2−4acb^2 – 4acb2−4ac) determines the nature of the roots:
     • If the discriminant is positive, there are two real roots.
     • If it is zero, there is one real root.
     • If it is negative, there are no real roots.
3. Expression Simplifier:
   • The input expression is evaluated using the eval() function, which simplifies the expression.
   • For example, entering x^2 + 2*x + 1 will return the result of the evaluation.

Example Algebra Calculator Usage:

1. Solving Linear Equations:
   • For the equation 2x+3=02x + 3 = 02x+3=0, input 222 for a and 333 for b, and it will solve for xxx.
2. Solving Quadratic Equations:
   • For the equation x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0, input 111 for a, −5-5−5 for b, and 666 for c to find the roots.
3. Simplifying Expressions:
   • Enter an expression like 2*x^2 + 3*x + 1 to evaluate it (make sure to include a value for x if needed).

Conclusion:

This Algebra Calculator is designed to solve both linear and quadratic equations and to simplify algebraic expressions. You can easily extend this calculator to support more types of algebraic problems, like systems of equations, factoring, or even solving inequalities.

Let me know if you need further assistance or want to add more features!