document.write( "Question 552386: In solving the equation (x + 4)(x – 7) = -24, Eric stated that the solution would be
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document.write( "x + 4 = -24 => x = -28
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document.write( "or
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document.write( "(x – 7) = -24 => x = -17
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document.write( "However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning. \n" );
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Algebra.Com's Answer #360234 by richard1234(7193) You can put this solution on YOUR website! Used \"zero-property rule\" incorrectly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 3x - 28 = -24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 - 3x - 4 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+1)(x-4) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we use the zero-property rule.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -1 or x = 4 \n" ); document.write( " |