document.write( "Question 1045026: The product of two positive numbers is. 5/6 and their quotient is 15/8. Calculate
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Algebra.Com's Answer #660445 by ikleyn(52777)\"\" \"About 
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document.write( "Let \"x\" and y\" be the two numbers.\r\n" );
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document.write( "We have\r\n" );
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document.write( "xy = \"5%2F6\",       (1)   and\r\n" );
document.write( "\"x%2Fy\" = \"15%2F8\".      (2)\r\n" );
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document.write( "Multiply (1) and (2) (both sdes). You will get\r\n" );
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document.write( "\"x%5E2\" = \"%285%2A15%29%2F%286%2A8%29\" = \"25%2F16\".\r\n" );
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document.write( "Hence,  x = +/- \"5%2F4\".\r\n" );
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document.write( "Next, divide (1) by (2) (both sides). You will get\r\n" );
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document.write( "\"y%5E2\" = \"5%2F6\" : \"15%2F8\" = \"%285%2A8%29%2F%286%2A15%29\" = \"4%2F9\".\r\n" );
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document.write( "Hence, y = +/- \"2%2F3\".\r\n" );
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document.write( "Answer. There are two solutions: (x,y) = (\"5%2F4\",\"2%2F3\")  and  (x,y) = (\"-5%2F4\",\"-2%2F3\").\r\n" );
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document.write( "        // We should exclude the second solution, since the numbers are negative. \r\n" );
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