document.write( "Question 985676: If m is a positive integer and (x+7)^2 = x^2 + mx + 49, what is the value of m? Can you please provide a clear, understandable step by step solution. Thank you!
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Algebra.Com's Answer #606653 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " (x+7)² = x² + mx + 49\r\n" ); document.write( "\r\n" ); document.write( " (x+7)(x+7) = x² + mx + 49\r\n" ); document.write( "x² + 7x + 7x + 49 = x² + mx + 49\r\n" ); document.write( " x² + 14x + 49 = x² + mx + 49\r\n" ); document.write( "\r\n" ); document.write( "Subtract x² and 49 from both sides\r\n" ); document.write( "\r\n" ); document.write( " x² + 14x + 49 = x² + mx + 49\r\n" ); document.write( " -x² -49 -x² -49\r\n" ); document.write( " -----------------------------\r\n" ); document.write( " 14x = mx\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by x\r\n" ); document.write( "\r\n" ); document.write( " 14 = m\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |