So far we have seen equations with a single solution where is some number. For example, or
Now we will learn about other types of equations:
- Equations whose solution is of the type , that is, they have infinite solutions
- Equations whose solution is of the type (where a represents some number). These equations have no solution.
At this stage it is clear that it is false, therefore, the equation has no solution, but, to demonstrate it clearly we will add to each side of the equation. We will obtain:
A false statement of the form which means that the equation has no solution. That is, no number we put into the equation could yield a true statement.
In this article, we will see many examples and various cases of special equations.