SOLUTION: Find the real solutions of each equation. rt{10 + rt{x}} = rt{x}

Square both sides:



Isolate the root:



Square both sides:













But when you square both sides of an equation, you have to check your answers,
for some, or even ALL, of your answers may be extraneous.

So we check.  It would be very time consuming to check the answers in exact
form, so get their decimal approximations. 

 is approximately 13.70156212











That checks, so we know that is a solution.

Now let's check the other solution

 is approximately 3.701562119











As we see, this does not check, so there is only 1 solution,



Edwin