document.write( "Question 437032: The square of a positive number minus the original number equals 72. What is the original number?
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document.write( " 6
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document.write( " 7
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document.write( " 8
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document.write( " 9
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document.write( " 10 \n" );
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Algebra.Com's Answer #302303 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! x = a positive number \n" ); document.write( "The square of the positive number = x^2. \n" ); document.write( "x^2 minus the original number = x^2 - x. \n" ); document.write( "x^2 -x = 72 (Given) \n" ); document.write( ". \n" ); document.write( "Subtract 72 from both sides \n" ); document.write( "x^2 -x - 72 = 0 \n" ); document.write( "Factor \n" ); document.write( "(x - 9)(x + 8) = 0 \n" ); document.write( "So, \n" ); document.write( "x = 9 \n" ); document.write( "or \n" ); document.write( "x = -8 \n" ); document.write( "But, we're told it is a positive number, which mean \n" ); document.write( "x = 9 \n" ); document.write( "Always check your answer! \n" ); document.write( "x^2 - x = 81 - 9 \n" ); document.write( "x^2 - x = 72 \n" ); document.write( "True \n" ); document.write( "Be sure to state your answer. \n" ); document.write( "The original number is 9. \n" ); document.write( "Done. \n" ); document.write( " |