Question

Which of these numbers are solutions of n^2= 100
Choose TWO correct answers
-50, -25, -10 , 10, 25 , or 50

Answer 1

To solve the equation \( n^2 = 100 \), we can take the square root of both sides. This gives us:

\[
n = \pm \sqrt{100}
\]

Since \( \sqrt{100} = 10 \), the solutions are:

\[
n = 10 \quad \text{and} \quad n = -10
\]

Now, let's see which of the given numbers are solutions:

- **-50**: \((-50)^2 = 2500\) (not a solution)
- **-25**: \((-25)^2 = 625\) (not a solution)
- **-10**: \((-10)^2 = 100\) (is a solution)
- **10**: \(10^2 = 100\) (is a solution)
- **25**: \(25^2 = 625\) (not a solution)
- **50**: \(50^2 = 2500\) (not a solution)

The two correct answers are **10** and **-10**.