document.write( "Question 437032: The square of a positive number minus the original number equals 72. What is the original number?
\n" ); document.write( " 6
\n" ); document.write( " 7
\n" ); document.write( " 8
\n" ); document.write( " 9
\n" ); document.write( " 10
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Algebra.Com's Answer #302303 by oberobic(2304)\"\" \"About 
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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.
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