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

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Answer 1 · 2016-05-07T10:40:18

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 $x=2$

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