document.write( "Question 924173: My wife and I are having a disagreement on the answer to this problem. Can you solve this in as much detail as possible please. Solve for x. I believe that x=9 and she is saying x=9,2\r
\n" ); document.write( "\n" ); document.write( "\"+++sqrt%28+X%2B7+%29+%2B5=X++\"
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Algebra.Com's Answer #560670 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
My wife and I are having a disagreement on the answer to this problem. Can you solve this in as much detail as possible please. Solve for x. I believe that x=9 and she is saying x=9,2\r
\n" ); document.write( "\n" ); document.write( "\"+++sqrt%28+X%2B7+%29+%2B5=X++\"
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\n" ); document.write( "\"sqrt%28x+%2B+7%29+%2B+5+=+x\"
\n" ); document.write( "\"sqrt%28x+%2B+7%29+=+x+-+5\" ------ Subtracting 5
\n" ); document.write( "\"%28sqrt%28x+%2B+7%29%29%5E2+=+%28x+-+5%29%5E2\" ------- Squaring both sides
\n" ); document.write( "\"x+%2B+7+=+x%5E2+-+10x+%2B+25\"
\n" ); document.write( "\"x%5E2+-+10x+-+x+%2B+25+-+7+=+0\"
\n" ); document.write( "\"x%5E2+-+11x+%2B+18+=+0\"
\n" ); document.write( "(x - 9)(x - 2) = 0
\n" ); document.write( "x = 9 OR x = 2
\n" ); document.write( "However, the ONLY solution is \"highlight_green%28x+=+9%29\", since x = 2 is an EXTRANEOUS solution.
\n" ); document.write( "AN EXTRANEOUS solution exists when a solution value is substituted back into the original equation and the original
\n" ); document.write( "equation PROVES FALSE. That's the case with x = 2, as when 2 is substituted for x, we get: 3 + 5 = 2, but \"3+%2B+5%3C%3E+2\"\r
\n" ); document.write( "\n" ); document.write( "Hence, your wife is INCORRECT, and you're CORRECT, this TIME!! \n" ); document.write( "
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