Rational Equation Solver | Solve Polynomial Fractions
Solve rational equations online quickly and easily! Enter your polynomial fractions p(x)/q(x) = r(x) and find step-by-step solutions. Visualize equations with interactive graphs.
Equation Form
We are solving rational equations of the form:
Enter the polynomial expressions for p(x), q(x), and r(x) below.
Solutions for x:
Visual Representation
Understanding Rational Equations
A rational equation is an equation in which one or more terms are rational expressions. A rational expression is simply a fraction where the numerator and/or the denominator are polynomials. Solving a rational equation involves finding the values of the variable that make the equation true. This tool helps you solve equations of the form $$ \frac{p(x)}{q(x)} = r(x) $$, where p(x), q(x), and r(x) are polynomials. Solutions are found by identifying where the graphs of p(x)/q(x) and r(x) intersect, which are also the roots of the function f(x) = p(x)/q(x) - r(x).
- Polynomial: An expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
- Rational Expression: A fraction where the numerator and denominator are polynomials.
- Root Finding: The process of finding the values for which a function equals zero. In our case, we find roots of f(x) = p(x)/q(x) - r(x) to solve the equation.
For further learning, explore resources on polynomial equations and rational functions in algebra textbooks or online educational platforms like Khan Academy.