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 14
m² = 169
Responses
A 1616
B -13-13
C 1212
D 1313
E 14
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 have:
\[
m = \pm \sqrt{169}
\]
Since \( \sqrt{169} = 13 \), the possible solutions for \( m \) are:
\[
m = 13 \quad \text{or} \quad m = -13
\]
Now, looking at the options provided:
A. 1616
B. -13
C. 1212
D. 1313
E. 14
The correct solutions to the equation \( m^2 = 169 \) based on our calculations are:
**B. -13** and **D. 13** (assuming D actually refers to 13, as in "1313" could potentially mean 13).
Thus, the two valid selections for solutions are:
- -13 (Option B)
- 13 (if present as a choice; otherwise, if "1313" is treated literally, it's just an incorrect option).
Make sure to confirm the exact representation of the choices as there might be a formatting error in how they were displayed.
Taking the square root of both sides, we have:
\[
m = \pm \sqrt{169}
\]
Since \( \sqrt{169} = 13 \), the possible solutions for \( m \) are:
\[
m = 13 \quad \text{or} \quad m = -13
\]
Now, looking at the options provided:
A. 1616
B. -13
C. 1212
D. 1313
E. 14
The correct solutions to the equation \( m^2 = 169 \) based on our calculations are:
**B. -13** and **D. 13** (assuming D actually refers to 13, as in "1313" could potentially mean 13).
Thus, the two valid selections for solutions are:
- -13 (Option B)
- 13 (if present as a choice; otherwise, if "1313" is treated literally, it's just an incorrect option).
Make sure to confirm the exact representation of the choices as there might be a formatting error in how they were displayed.