How would you simplify #sqrt(x+1)=3- sqrt( x-2)#?
Make a simplifying substitution, like
One way to solve this type of equation is by doing substitutions to simplify one of the square-roots. In this case, it would be really nice if we could do the square root of
From which we can solve for
Substituting these into the equation we get:
let's take the
Finally, we can substitute this into our original expression for
Let's check this answer by substituting it into the original equation: