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Many equations not actually quadratic equations can be written as quadratics, solved as quadratics and these solution used to solve the original equation.
We can write the equation  
\[x-8 \sqrt{x}+12=0 \]
  by substituting  
\[y= \sqrt{x}\]
. The equation becomes  
\[y^2-8y+12=0\]
.
This equation factorises as  
\[(y-6)(y-2)=0\]
.
Set each factor equal to 0 and solve.
\[y-6=0 \rightarrow y=6\]

\[y-2=0 \rightarrow y=2\]

\[y=6\]
  then  
\[\sqrt{x}=6 \rightarrow x=6^2=36\]
.
\[y=2\]
  then  
\[\sqrt{x}=2 \rightarrow x=2^2=4\]
.