Question

√(x-21)-1=√(x+12)

Answer 1

\[\sqrt{(x-21)}-1=\sqrt{x+12}\]
\[(\sqrt{(x-21)}-1)^{2}=x+12\]
\[(x-21)-2\sqrt{x-21}+1=x+12\]
\[-21-12+1=2\sqrt{x-21}\]
\[-32=2\sqrt{x-21}\]
-16=\[\sqrt{x-21}\]
(-16)\[(-16)^{2}=(\sqrt{x-21})^{2}\]
\[x=277\]