Question

How do you simplify `x=sqrt( 6-x)`?

Answer 1

First we notice that it should be `6-x>=0=>6>=x` and `x>=0` hence `0<=x<=6`

We have that

`x=sqrt(6-x)=>x^2=6-x=>x^2+x-6=0=>(x-2)*(x+3)=0`

Hence the only acceptable solution is `x=2`