10. Solve for x and check
First isolate the radical. Add 5 to both sides.
Now square both sides.
Subtract 3 from both sides.
Divide both sides by 2.
Check: Copy down the original equation
except that where there is an x, copy down a 33/2 in parentheses
When we do the arithmetic inside the parentheses, we first multiply the 2 times the 33/2.
Then add under the radical.
Now take the square root,
and it checks