document.write( "Question 610525: A rectangle has the dimensions 1080/x^2-5x+6 by x-2/x. If the area is 20 units^2, find the value(s) for x.\r
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document.write( "I got 1060/x(x-3) but I don't think that is right. Help would be greatly appreciated! \n" );
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Algebra.Com's Answer #384446 by stanbon(75887) ![]() You can put this solution on YOUR website! A rectangle has the dimensions 1080/x^2-5x+6 by x-2/x. If the area is 20 units^2, find the value(s) for x. \n" ); document.write( "--------------------------- \n" ); document.write( "[1080/x^2-5x+6] * [x-2/x] = 20 \n" ); document.write( "------------------ \n" ); document.write( "[1080/(x=3)(x-2)] * [x-2/x] = 20 \n" ); document.write( "---- \n" ); document.write( "[1080/(x-3)] * [1/x] = 20 \n" ); document.write( "Multiply thru by x(x-3) to get: \n" ); document.write( "1080 = 20x(x-3) \n" ); document.write( "----- \n" ); document.write( "20x^2-60x-1080 = 0 \n" ); document.write( "----- \n" ); document.write( "x^2 - 3x - 54 = 0 \n" ); document.write( "(x-9)(x+6) = 0 \n" ); document.write( "x = 9 or x = -6 \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |