Question
What is (x + 3)^2 = 36 in square root form
Answers
GPT-4o mini
To express the equation \((x + 3)^2 = 36\) in square root form, we can take the square root of both sides. Remember that when we take the square root, we need to account for both the positive and negative roots.
So, we have:
\[
x + 3 = \pm 6
\]
This gives us two separate equations:
1. \(x + 3 = 6\)
2. \(x + 3 = -6\)
From these, we can solve for \(x\):
1. For \(x + 3 = 6\):
\[
x = 6 - 3 = 3
\]
2. For \(x + 3 = -6\):
\[
x = -6 - 3 = -9
\]
Thus, the solutions to the equation \((x + 3)^2 = 36\) are \(x = 3\) and \(x = -9\). In square root form, the complete expression is:
\[
x + 3 = \pm 6
\]
So, we have:
\[
x + 3 = \pm 6
\]
This gives us two separate equations:
1. \(x + 3 = 6\)
2. \(x + 3 = -6\)
From these, we can solve for \(x\):
1. For \(x + 3 = 6\):
\[
x = 6 - 3 = 3
\]
2. For \(x + 3 = -6\):
\[
x = -6 - 3 = -9
\]
Thus, the solutions to the equation \((x + 3)^2 = 36\) are \(x = 3\) and \(x = -9\). In square root form, the complete expression is:
\[
x + 3 = \pm 6
\]