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3+square root of (x+3)=x
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\[3+\sqrt{x+3}=x\]
yes
by squaring both sides we get: 9+x+3=\[x ^{2}\]
\[x ^{2}-x-12=0\] \[here \sum =-1,product equals=-12\]
so \[x ^{2}-4x+3x-12=0\] x(x-4)+3(x-4)=0 therefore x-4=0 and x+3=0 so x=4 or x=-3
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but answer shows to be {6}
isolate that radical firs before you square both sides... subtract 3 from both sides first.
\[\huge 3+\sqrt{x+3}=x\] \[\huge \sqrt{x+3}=x-3\] \[\huge x+3=x^2-6x+9\] \[\huge 0=x^2-7x+6\] solve from here...
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