document.write( "Question 1189785: The square of 9 less than a number is 3 less than the number. What is the number?
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Algebra.Com's Answer #821252 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The square of 9 less than a number is 3 less than the number. What is the number?
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document.write( "Let n denotes a number under the problem's question.\r\n" );
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document.write( "Equation\r\n" );
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document.write( "    (n-9)^2 = n-3\r\n" );
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document.write( "Simplify and find n\r\n" );
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document.write( "    n^2 - 18n + 81 = n-3\r\n" );
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document.write( "    n^2 - 19n + 84 = 0\r\n" );
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document.write( "    (n-12)*(n-7) = 0\r\n" );
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document.write( "The roots are  n= 7  and n= 12.\r\n" );
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document.write( "Both the roots satisfy the problem's description, so they both are the solutions to the problem.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Actually, the problem's description is ambiguous and can be read and interpreted in different way;\r
\n" ); document.write( "\n" ); document.write( "I presented here one of possible interpretations with the solution.\r
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