Final answer:
The number of real solutions refers to the values of x that satisfy a given equation. Some equations have one real solution, while others may have none. Complex solutions involve imaginary numbers.
Step-by-step explanation:
The number of real solutions refers to the number of values of x that satisfy a given equation. In mathematics, the solutions to an equation can be classified as real or complex. Real solutions are those values of x that make the equation true when substituted into it. Complex solutions, on the other hand, involve imaginary numbers.
For example, if we have a quadratic equation like x^2 + 4x + 4 = 0, we can factor it as (x + 2)^2 = 0. The only value of x that satisfies this equation is -2, so there is only one real solution.
However, not all equations have real solutions. For instance, the equation x^2 + 1 = 0 has no real solutions since there is no real number that, when squared, gives a result of -1