How do you solve #-sqrt(8x+4/3)=sqrt(2x+1/3)#?
At first glance the problem seems to have no solution, since the left hand side is negative, while the right hand is positive. Thankfully, there is one number that fits this seemingly contradictory requirement - and that is zero.
Both sides vanish for
Note that you could try finding the solution by the standard method of squaring both sides. In this case, squaring gives
To give an example of the kind of trouble squaring can get you into, consider the similar equation