Sure, let's solve the equation [tex]\( \sqrt{t} - 6 = -2 \)[/tex] step by step.
1. Isolate the square root term:
Start by adding 6 to both sides of the equation to isolate the term involving the square root.
[tex]\[
\sqrt{t} - 6 + 6 = -2 + 6
\][/tex]
Simplify the equation:
[tex]\[
\sqrt{t} = 4
\][/tex]
2. Solve for [tex]\( t \)[/tex]:
To solve for [tex]\( t \)[/tex], square both sides of the equation to eliminate the square root.
[tex]\[
(\sqrt{t})^2 = 4^2
\][/tex]
Simplify the equation:
[tex]\[
t = 16
\][/tex]
Therefore, the solution to the equation [tex]\( \sqrt{t} - 6 = -2 \)[/tex] is:
[tex]\[
t = 16
\][/tex]
