document.write( "Question 298742: Find a quadratic equation that has the solution set (4/3, 2).
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Algebra.Com's Answer #214811 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
Find a quadratic equation that has the solution set (4/3, 2).
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document.write( "     x = \"4%2F3\"        x = 2\r\n" );
document.write( "    3x = 4         x = 2\r\n" );
document.write( "3x - 4 = 0     x - 2 = 0\r\n" );
document.write( "    (3x - 4)(x - 2) = 0\r\n" );
document.write( "        3x2 - 10x + 8 = 0 \r\n" );
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document.write( "Please notice that this is simply the exact reverse of \r\n" );
document.write( "the step by step procedure for solving the resulting \r\n" );
document.write( "equation, which would be\r\n" );
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document.write( "        3x2 - 10x + 8 = 0 \r\n" );
document.write( "    (3x - 4)(x - 2) = 0\r\n" );
document.write( "3x - 4 = 0     x - 2 = 0\r\n" );
document.write( "    3x = 4         x = 2\r\n" );
document.write( "     x = \"4%2F3\"        x = 2\r\n" );
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document.write( "here is the picture and frame:\r\n" );
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document.write( "Let the width of the frame be x\r\n" );
document.write( "Draw in the 4 square corners, each of which has\r\n" );
document.write( "side of length x, the width of the frame:\r\n" );
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document.write( "The total bottom width of the framed picture is gotten by adding\r\n" );
document.write( "the green dimensions across the bottom \r\n" );
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document.write( "x + 8 + x or 2x + 8\r\n" );
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document.write( "The total height of the framed picture is gotten by adding\r\n" );
document.write( "the green dimensions along the right edge:\r\n" );
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document.write( "x + 10 + x or 2x + 10\r\n" );
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document.write( "Using the formula\r\n" );
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document.write( "Area = (bottom width) times (vertical height) we have the equation:\r\n" );
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document.write( "168 = (2x + 8)(2x + 10)\r\n" );
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document.write( "Do you know how to simplify and solve that equation?\r\n" );
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document.write( "If not post again asking how to solve it.  The\r\n" );
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document.write( "solutions you get are x = 2 and x = -11.\r\n" );
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document.write( "We ignore the negative solution and conclude that\r\n" );
document.write( "the frame is 2 inches wide.\r\n" );
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document.write( "Edwin
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