Respuesta :
Answer: The required solution is x = 21.
Step-by-step explanation: We are given to solve the following equation for x :
"Square root of x minus 5 + 7 = 11."
The given equation can be written and solved as follows :
[tex]\sqrt{x-5}+7=11\\\\\Rightarrow \sqrt{x-5}=11-7\\\\\Rightarrow \sqrt{x-5}=4\\\\\Rightarrow x-5=4^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow x-5=16\\\\\Rightarrow x=16+5\\\\\Rightarrow x=21.[/tex]
Thus, the required solution is x = 21.
