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There can be no solution to an algebra equation because of limitations of the domain. For example,
- x+3 = 2 has no solution if the domain for x is the set of positive integers,
- x*3 = 2 has no solution if the domain for x is the set of whole numbers,
- x^3 = 2 has no solution if the domain for x is the set of rational numbers,
- x^2 = -2 has no solution if the domain for x is the set of real numbers.
Alternatively, the equation has no solution if it can be reduced to a false statement. For example,
x + 2 = x + 3 can be simplified to 2 = 3 which is false and so there is no solution.
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What does one solution in algebra mean?
In algebra, one solution means that there is only one real value x that will satisfy its equation.
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