To solve the equation [tex]\(\sqrt{u+5} = 9\)[/tex], we need to follow these steps:
1. Square both sides of the equation in order to eliminate the square root:
[tex]\[
(\sqrt{u+5})^2 = 9^2
\][/tex]
This simplifies to:
[tex]\[
u + 5 = 81
\][/tex]
2. Isolate [tex]\( u \)[/tex] by subtracting 5 from both sides of the equation:
[tex]\[
u + 5 - 5 = 81 - 5
\][/tex]
Simplifying the right side, we get:
[tex]\[
u = 76
\][/tex]
Hence, the solution is:
[tex]\[
u = 76
\][/tex]
