A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

Example of a Rational Equation:

$\frac{2x + 3}{x - 1} = \frac{5}{x + 2}$

How to Solve It:

1. Find a common denominator (optional, depending on the solving method).
2. Eliminate the fractions by multiplying both sides of the equation by the common denominator.
3. Solve the resulting polynomial equation.
4. Check for extraneous solutions by substituting back into the original equation, ensuring no denominators are zero.

Would you like me to solve this equation in detail?

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Here are five related questions:

1. What are extraneous solutions in rational equations?
2. How do you determine the least common denominator (LCD) in rational equations?
3. What happens if the denominator of a rational equation is zero?
4. Can rational equations have no solutions?
5. What real-life situations can be modeled by rational equations?

Tip: Always check for restrictions in the variable that make any denominator equal to zero before solving the equation.