Indeterminate equation

An indeterminate equation, in mathematics, is an equation for which there is more than one solution; for example, 2x = y is a simple indeterminate equation, as are ax + by = c and x2 = 1. Indeterminate equations cannot be solved uniquely. Prominent examples include the following: An indeterminate equation, in mathematics, is an equation for which there is more than one solution; for example, 2x = y is a simple indeterminate equation, as are ax + by = c and x2 = 1. Indeterminate equations cannot be solved uniquely. Prominent examples include the following: Univariate polynomial equation: which has multiple solutions for the variable x in the complex plane unless it can be rewritten in the form a n ( x − b ) n = 0 {displaystyle a_{n}(x-b)^{n}=0} . Non-degenerate conic equation: where at least one of the given parameters A, B, and C is non-zero, and x and y are real variables. Pell's equation: where P is a given integer that is not a square number, and in which the variables x and y are required to be integers. The equation of Pythagorean triples: in which the variables x, y, and z are required to be positive integers.