Help! How to make an extraneous equation? I need to make an equation that when substituted into it's original equation, doesn't equal the original answer (I hope that makes sense) and the equation I made is non extraneous. My equation was the square root of (x+9) plus 2 = 20. But, it was non extraneous.

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Help! How to make an extraneous equation? I need to make an equation that when substituted into it's original equation, doesn't equal the original answer (I hope that makes sense) and the equation I made is non extraneous. My equation was the square root of (x+9) plus 2 = 20. But, it was non extraneous.

Mathematics
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try \[\sqrt{x+9}+2=1\]
That worked, thanks! to be sure, is the solution x=-7?
and when I tried to see if it was extraneous, I got 4=-1

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there is no solution, but i guess the "extraneous" one would be \(-8\)
Sorry, I'm confused. I solved the equation and got -7 haha
\[\sqrt{x+9}+2=1\\ \sqrt{x+9}=-1\\ x+9=1\\ x=-8\]
oh ok! I put -7 instead of 8 for some reason. Thanks!
yw

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