Let's analyze the equation
First, we can determine the number of solutions:
- Taking the square root of both sides, we get:
Thus, there are two solutions: and .
So, the equation above has (A: two) solution(s).
Next, when
- Since both values satisfy the original equation
, (and ) is (B: a) solution to the equation.
Finally, we need to determine the nature of the solutions:
- Both
and are not rational numbers (they cannot be expressed as a fraction of two integers). Therefore, the solutions for the given equation are (B: irrational) number(s).
Putting this all together:
- The equation above has (A: two) solution(s).
- When
, is (B: a) solution to the equation. - The solution(s) for the given equation are (B: irrational) number(s).