5. 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


return to problem 10