Concept — Condizioni di esistenza.
Featured in chapters
03·05·10·13·17·26·27
Linked atoms
38 linked atoms.
03 Frazioni algebriche
- Algebraic fraction and existence conditions
- Equation with algebraic fractions
- Simplifying by recognising special products
05 Equazioni di primo grado
10 Equazioni di secondo grado e fratte
13 Radicali ed equazioni irrazionali
- Existence conditions of radicals
- Inequality with two roots
- The solving method
- Type I — root greater
- Type II — root smaller
17 Disequazioni irrazionali
- A complete example with the sign line
- A reminder about the existence conditions
- Decision map — what type of inequality am I facing?
- Distances in analytic geometry
- Example — root larger than a line
- Example — root smaller than a line
- Example — two radicals compared
- Recognising always-non-negative sums
- Squaring without splitting into cases
- The method for the larger root — Type II
- The method for the smaller root — Type I
- The sign-table strategy
- Worked exercise — Fractional inequality with a radical
- Worked exercise — Sum of two radicals
- Worked exercise — Type I with a strict root
- Worked exercise — Type II with a semicircle
26 Funzione logaritmica
- Basic cases with base less than 1
- Equation with passage to the exponential
- Logarithmic equation by substitution
- Logarithmic equations
- Logarithmic inequality with base less than 1
- Rule for the direction in inequalities
- The constraint on the argument
- The ECs always hold