document.write( "Question 1179760: The sum of two numbers is 29. find the maximum possible product of the two numbers. \n" ); document.write( "
Algebra.Com's Answer #809354 by ikleyn(52800)\"\" \"About 
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document.write( "If x is one number, then the other number is 29-x.\r\n" );
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document.write( "Their product is  x*(29-x) = 29x - x^2.    (1)\r\n" );
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document.write( "This function is a parabola placed downward.\r\n" );
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document.write( "    29x - x^2 = \"-%28x-14.5%29%5E2+%2B+14.5%5E2\".    (2)\r\n" );
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document.write( "The parabola has the vertex at x = 14.5.\r\n" );
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document.write( "So, the two numbers are equal to 14.5.\r\n" );
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document.write( "Their product is  14.5*14.5 = 210.25.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.\r
\n" ); document.write( "\n" ); document.write( "Learn the subject from there once and for all.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Finding minimum/maximum of quadratic functions\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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