document.write( "Question 1076669: HIJK and STUV are similar. The area of HIJK is (2x+9). The area of STUV is (2x-6). The perimeter of HIJK is (x+3). The perimeter of STUV is(x-1). Find the value of x. \n" ); document.write( "
Algebra.Com's Answer #691356 by ikleyn(52914)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The equation is \r\n" );
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document.write( "\"%28%28x%2B3%29%2F%28x-1%29%29%5E2\" = \"%282x%2B9%29%2F%282x-6%29\".     (1)\r\n" );
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\n" ); document.write( "\n" ); document.write( "The solution by \"josgarithmetic\" is \"highlight%28WRONG%29\".\r
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\n" ); document.write( "\n" ); document.write( "Plots y = \"%28%28x%2B3%29%2F%28x-1%29%29%5E2\" (red) and y = (2x+9)/(2x-6) green)\r
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document.write( "To solve (1), cross-multiply and simplify.\r\n" );
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document.write( "You will get the quadratic equation \r\n" );
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document.write( "\"x%5E2+-+2x+-+63\" = 0.\r\n" );
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document.write( "It has the solution  \"x%5B1%2C2%5D\" = \"%282+%2B-+sqrt%284%2B4%2A63%29%29%2F2\" = \"%282+%2B-+16%29%2F2\"\r\n" );
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document.write( "The only positive solution for x (which works) is  x = \"%282+%2B%0D%0A+16%29%2F2\" = 9.\r\n" );
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