Question

How to find all real solutions

Answer 1

`\bf \sqrt{√(x-5)+x}=5\leftarrow \textit{squaring both sides} \\\\ √(x-5)+x=25\implies √(x-5)=25-x\leftarrow \textit{squaring both sides} \\\\ x-5=(25-x)^2\implies x-5=625-50x+x^2 \\\\ 0=x^2-51x+630\implies 0=(x-30)(x-21)`

and surely you'd know what the roots are