Sqrt(x)=-x
x=0
Right? It can't be positive or negative so it has to be 0.
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Sqrt(x)=-x
x=0
Right? It can't be positive or negative so it has to be 0.
looks good.
You could arrange as:
$\displaystyle x+\sqrt{x}=0$
$\displaystyle \sqrt{x}(\sqrt{x}+1)=0$
Since $\displaystyle 0\le\sqrt{x}$ we must have:
$\displaystyle \sqrt{x}=0$
$\displaystyle x=0$