What does impossible mean in math terms?

Answer 1

In mathematical terms, "impossible" refers to a situation or problem that cannot be solved or achieved within the defined parameters. For example, an equation with no solutions, such as ( x + 1 = x ), is considered impossible because no value of ( x ) can satisfy it. Additionally, certain geometric constructions, like squaring the circle using only a compass and straightedge, are deemed impossible based on established mathematical principles.