To find the positive solution for [tex]\( b \)[/tex] in the equation [tex]\( b^2 = 144 \)[/tex], follow these steps:
1. Understand the given equation:
The equation is [tex]\( b^2 = 144 \)[/tex].
2. Isolate the term involving [tex]\( b \)[/tex]:
We already have [tex]\( b \)[/tex] squared isolated on one side of the equation.
3. Consider the square root:
To solve for [tex]\( b \)[/tex], we need to take the square root of both sides of the equation. This step will help us eliminate the square on [tex]\( b \)[/tex]. It’s important to remember that taking the square root of a number yields both a positive and a negative solution; however, since we are asked specifically for the positive solution, we will only consider the positive root.
4. Calculate the square root:
[tex]\[
b = \sqrt{144}
\][/tex]
5. Evaluate the square root:
The square root of 144 is:
[tex]\[
\sqrt{144} = 12
\][/tex]
Therefore, the positive solution for [tex]\( b \)[/tex] is:
[tex]\[
b = 12
\][/tex]
