Question
Which of the following are solutions to the equation below? (choose 2)
m² = 169
Responses
A 1616
B -13-13
C 1212
D 1313
E 1414
m² = 169
Responses
A 1616
B -13-13
C 1212
D 1313
E 1414
Answers
GPT-4o mini
To solve the equation \( m^2 = 169 \), we need to find the values of \( m \) that satisfy this equation.
Taking the square root of both sides, we get:
\[ m = \pm \sqrt{169} \]
Calculating the square root:
\[ \sqrt{169} = 13 \]
Thus, the solutions are:
\[ m = 13 \]
\[ m = -13 \]
Now, looking at the provided options:
- A: 1616 (not a solution)
- B: -13 (a solution)
- C: 1212 (not a solution)
- D: 1313 (not a solution)
- E: 1414 (not a solution)
The two solutions to the equation \( m^2 = 169 \) are:
1. 13
2. -13
However, since we are looking to choose from the options provided, the correct answers would be:
- **B: -13** (the negative solution)
- There is no positive solution given in the options, as 13 isn't listed.
Therefore, the only correct answer from the options is **B**.
Taking the square root of both sides, we get:
\[ m = \pm \sqrt{169} \]
Calculating the square root:
\[ \sqrt{169} = 13 \]
Thus, the solutions are:
\[ m = 13 \]
\[ m = -13 \]
Now, looking at the provided options:
- A: 1616 (not a solution)
- B: -13 (a solution)
- C: 1212 (not a solution)
- D: 1313 (not a solution)
- E: 1414 (not a solution)
The two solutions to the equation \( m^2 = 169 \) are:
1. 13
2. -13
However, since we are looking to choose from the options provided, the correct answers would be:
- **B: -13** (the negative solution)
- There is no positive solution given in the options, as 13 isn't listed.
Therefore, the only correct answer from the options is **B**.