Page 2: Rational and Irrational Equations

This section covers the solving techniques for rational and irrational equations, particularly focusing on ecuaciones de primer grado con denominadores and equations with radicals.

Definition: Rational equations are equations where the variable appears in the denominator of a fraction.

Highlight: When solving rational equations, the key is to eliminate denominators by multiplying all terms by the least common multiple (LCM).

Example: For √x + 4 = 7, square both sides to eliminate the radical, resulting in x + 4 = 49.

Quote: "The variable can never be a value that makes the denominator zero."

Page 3: Exponential Equations

This page details methods for solving exponential equations, incorporating ecuaciones logarítmicas 1 bachillerato concepts and techniques.

Definition: Exponential equations are equations where the variable appears in the exponent.

Example: For the equation 5^(2x-3) = 5^x, both sides have the same base (5), so the exponents must be equal.

Highlight: Three main solving methods are presented:

1. Express both sides as powers of the same base
2. Use variable substitution
3. Apply logarithms when bases differ

Vocabulary: "Exponente saltarín" refers to equations where the variable appears in multiple exponents.