document.write( "Question 1207662: If k = (x + 3)/(x - 4) and k^2 - 3k = 28, find x. \r
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document.write( "I say replace every k with (x + 3)/(x - 4).\r
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document.write( "I get this:\r
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document.write( "[(x + 3)/(x - 4)]^2 - 3[(x + 3)/(x - 4)] = 28\r
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document.write( "Correct? \n" );
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Algebra.Com's Answer #845653 by Theo(13342)![]() ![]() You can put this solution on YOUR website! that looks reasonable, although it might get messy.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also do the following:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation k^2 - 3k = 28, subtract 28 from both sides to get: \n" ); document.write( "k^2 - 3k - 28 = 0 \n" ); document.write( "factor this quadratic equation to get: \n" ); document.write( "(k-7) * (k+4) = 0 \n" ); document.write( "solve for k to get: \n" ); document.write( "k = 7 or k = -4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation k = (x + 3)/(x - 4), replace k with 7 and solve for x. \n" ); document.write( "after you do that, replace k with - 4 and solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you should get x = 31/6 or x = 13/5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it should be able to be solved the way that you showed, but i think solving for k first is probably easier.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |