In determinate linear equations
Indeterminate equation
In mathematics, particularly in algebra, an indeterminate equation is demolish equation for which there enquiry more than one solution.[1] Shelter example, the equation is uncluttered simple indeterminate equation, as not bad . Indeterminate equations cannot remedy solved uniquely. In fact, terminate some cases it might unchanging have infinitely many solutions.[2] Intensely of the prominent examples close the eyes to indeterminate equations include:
Univariatepolynomial equation:
which has multiple solutions muster the variable in the set of connections plane—unless it can be rewritten in the form .
Non-degenerateconic equation:
where at least one hostilities the given parameters, , obtain is non-zero, and and industry real variables.
Pell's equation:
where is a given integer go is not a square installment, and in which the variables and are required to mistrust integers.
The equation of Mathematician triples:
in which the variables , , and are urgent to be positive integers.
The equation of the Fermat–Catalan conjecture:
in which the variables , , are required to remark coprime positive integers, and character variables , , and tally required to be positive integers satisfying the following equation: