document.write( "Question 167316: sqrtof 9x+81=x+5\r
\n" ); document.write( "\n" ); document.write( "not sure how to solve...please help
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Algebra.Com's Answer #123258 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%289x%2B81%29\" = x + 5
\n" ); document.write( "Square both sides:
\n" ); document.write( "9x + 81 = (x + 5)^2
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\n" ); document.write( "FOIL the right side
\n" ); document.write( "9x + 81 = x^2 + 10x + 25
\n" ); document.write( ":
\n" ); document.write( "0 = x^2 + 10x - 9x + 25 - 81
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\n" ); document.write( "A quadratic equation:
\n" ); document.write( "x^2 + x - 56 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x+8)(x-7) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -8
\n" ); document.write( "and
\n" ); document.write( "x = 7
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\n" ); document.write( "Both solutions have to be checked in the original equation:
\n" ); document.write( "x= -8
\n" ); document.write( "\"sqrt%289%28-8%29%2B81%29\" = -8 + 5
\n" ); document.write( "\"sqrt%28-72%2B81%29\" = -8 + 5
\n" ); document.write( "\"sqrt%289%29\" = -3
\n" ); document.write( "3 does not = -3; x = -8 is not a solution
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\n" ); document.write( "x=+7
\n" ); document.write( "\"sqrt%289%287%29%2B81%29\" = 7 + 5
\n" ); document.write( "\"sqrt%2863%2B81%29\" = 12
\n" ); document.write( "\"sqrt%28144%29\" = 12
\n" ); document.write( "12 = 12; x=7 is good solution
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