# How do you solve #sqrt( 9 + x) + sqrt(1+x)=sqrt(x + 16)#?

##### 1 Answer

First of all the existence conditions:

the solution of the system of inequalities is

Now we can square the two members because the first is positive or zero (sum of two quantities positive or zero), and so it is the second.

Now we have another contion to solve, because we have to make *sure* that the second member is positive or zero, because we want to square the two members another time.