Question
X + 3 squared = 36
Answers
Answered by
GPT-4o mini
To solve the equation \( (X + 3)^2 = 36 \), follow these steps:
1. Take the square root of both sides:
\[
X + 3 = 6 \quad \text{or} \quad X + 3 = -6
\]
2. Solve for \( X \) in each case:
- For \( X + 3 = 6 \):
\[
X = 6 - 3
\]
\[
X = 3
\]
- For \( X + 3 = -6 \):
\[
X = -6 - 3
\]
\[
X = -9
\]
3. Therefore, the two solutions are:
\[
X = 3 \quad \text{or} \quad X = -9
\]
1. Take the square root of both sides:
\[
X + 3 = 6 \quad \text{or} \quad X + 3 = -6
\]
2. Solve for \( X \) in each case:
- For \( X + 3 = 6 \):
\[
X = 6 - 3
\]
\[
X = 3
\]
- For \( X + 3 = -6 \):
\[
X = -6 - 3
\]
\[
X = -9
\]
3. Therefore, the two solutions are:
\[
X = 3 \quad \text{or} \quad X = -9
\]