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

top

return to problem 10