document.write( "Question 1149878: One positive integer is 6 less than twice another. The sum of their squares is 296. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #771214 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x be \"another\" integer.\r\n" );
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document.write( "Then the \"first\" integer is 2x-6.\r\n" );
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document.write( "   x^2 + (2x-6)^2 = 296\r\n" );
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document.write( "   x^2 + 4x^2 - 24x + 36 = 296\r\n" );
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document.write( "   5x^2 - 24x - 260 = 0\r\n" );
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document.write( "     = .\r\n" );
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document.write( "      = 10.\r\n" );
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document.write( "     The other root is negative.\r\n" );
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document.write( "Answer.  The numbers are 10  and 2*10-6 = 14.    ANSWER\r\n" );
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