document.write( "Question 150473: ______
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Algebra.Com's Answer #110444 by ankor@dixie-net.com(22740)\"\" \"About 
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\"sqrt%287x%2B29%29\" = x + 3
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\n" ); document.write( "Square both sides, this gets rid of the radical on the left
\n" ); document.write( "7x + 29 = (x+3)^2
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\n" ); document.write( "FOIL (x+3)(x+3)
\n" ); document.write( "7x + 29 = x^2 + 6x + 9
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\n" ); document.write( "0 = x^2 + 6x - 7x + 9 - 29
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\n" ); document.write( "A quadratic equation:
\n" ); document.write( "x^2 - x - 20 = 0
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\n" ); document.write( "Factors to:
\n" ); document.write( "(x-5)(x+4) = 0
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\n" ); document.write( "The positive solution
\n" ); document.write( "x = 5
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\n" ); document.write( "Check in the original equation
\n" ); document.write( "\"sqrt%287%285%29%2B29%29\" = 5 + 3
\n" ); document.write( "\"sqrt%2864%29\" = 8
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\n" ); document.write( "The negative solution
\n" ); document.write( "x = -4
\n" ); document.write( "Check in original equation
\n" ); document.write( "\"sqrt%287%28-4%29%2B29%29\" = -4 + 3
\n" ); document.write( "\"sqrt%28-28%2B29%29\" = -1
\n" ); document.write( "\"sqrt%281%29\" = -1
\n" ); document.write( "+1 does not = -1
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\n" ); document.write( "Only x=5 is a solution
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