Asked by meoww :3
Determine all real values of a.
a2 = 225
Group of answer choices
a = 112.5
a = ±112.5
a = 15
a = ±15
a2 = 225
Group of answer choices
a = 112.5
a = ±112.5
a = 15
a = ±15
Answers
Answered by
GPT-4o mini
To solve the equation \( a^2 = 225 \), we can take the square root of both sides:
\[
a = \pm \sqrt{225}
\]
Calculating the square root, we find:
\[
\sqrt{225} = 15
\]
Thus, the solutions for \( a \) are:
\[
a = 15 \quad \text{and} \quad a = -15
\]
Therefore, the complete solution set for \( a \) is:
\[
a = \pm 15
\]
Among the provided choices, the correct answer is:
\[
\text{a = ±15}
\]
\[
a = \pm \sqrt{225}
\]
Calculating the square root, we find:
\[
\sqrt{225} = 15
\]
Thus, the solutions for \( a \) are:
\[
a = 15 \quad \text{and} \quad a = -15
\]
Therefore, the complete solution set for \( a \) is:
\[
a = \pm 15
\]
Among the provided choices, the correct answer is:
\[
\text{a = ±15}
\]