Which of the following are solutions to the equation below? (choose 2) $$ m^{2}=169 $$ A 16 B -13 C 12 D 13 E 14

Question

UpStudy AI · Accepted Answer

To solve the equation $$ m^{2} = 169 $$, we need to find the values of $$ m $$ that satisfy this equation.

1. **Take the square root of both sides**:
   $$
   m = \pm \sqrt{169}
   $$

2. **Calculate the square root**:
   $$
   \sqrt{169} = 13
   $$

3. **Thus, the solutions are**:
   $$
   m = 13 \quad \text{and} \quad m = -13
   $$

Now, let's check the options provided:

- A: 16 (not a solution)
- B: -13 (is a solution)
- C: 12 (not a solution)
- D: 13 (is a solution)
- E: 14 (not a solution)

The two correct solutions to the equation $$ m^{2} = 169 $$ are:

- B: -13
- D: 13
The solutions are -13 and 13.

Which of the following are solutions to the equation below? (choose 2) \[ m^{2}=169 \] A 16 B -13 C 12 D 13 E 14