Equations with one variable

Content

1. Equations with one variable, equivalence of equations

2. General methods of solving equations

3. Algebraic equations

   3.1. Linear equations

   3.2. Quadratic equations, biquadratic equations

      3.2.1. Solving of incomplete quadratic equations

      3.2.2. Solving of complete quadratic equations

      3.2.3. Vieta's theorem and its application to solving quadratic equations

      3.2.4.Solving of biquadratic equations

   3.3. Cubic equations

      3.3.1. Solving of cubic equations by factorization

      3.3.2. Solving of symmetric cubic equations

      3.3.3. Cardano's formula for solving cubic equations

   3.4. Equations of the fourth degree

   3.5. Equations of higher degrees

   3.6. Fractional-rational equations

   3.7. Equations with modulus

   3.8. Irrational equations

4. Transcendental equations

   4.1. Trigonometric equations

   4.2. Exponential equations

   4.3. Logarithmic equations