In mathematics, a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the problem is called:
In mathematics, a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the problem is called:
(a) Homogeneous
(b) Heterogeneous
(c) Extraneous
(d) Identical
In math, an extraneous solution is a root that “comes out” during the process of solving an equation, usually because of a process like squaring both sides or multiplying by a variable. It appears to be a correct solution, but when you put it into the original equation, it does not work. So, an extraneous solution is a result of a process, but it is not a correct solution to the original problem.
- (a) Homogeneous: An equation that is homogeneous has all terms of the same degree, or a constant term equal to zero. This term has nothing to do with a correct or incorrect solution.
- (b) Heterogeneous: Usually, this term is related to a combination of different substances, not to a type of solution.
- (d) Identical: An identity is true for all values of all variables. This is the exact opposite of an incorrect, or “extra,” solution.