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document.write( "find the point of intersection of x^2+y^2=25,
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document.write( "x^2/18+ y^2/32=1
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= 25, (1)\r\n" );
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= 1. (2)\r\n" );
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document.write( "Multiply (2) by 18 (both sides). You will get\r\n" );
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= 25, (1')\r\n" );
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= 18, (2')\r\n" );
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document.write( "or equivalently\r\n" );
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= 25, (1'')\r\n" );
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= 18. (2'')\r\n" );
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document.write( "Distract (2'') from (1''). You will get\r\n" );
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= 25 - 18, or
= 7, or
= 16.\r\n" );
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document.write( "Hence, y = +/- 4.\r\n" );
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document.write( "Then from (1) x = +/-3.\r\n" );
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document.write( "Answer. There are four solution and, respectively, four intersection points:\r\n" );
document.write( " (x,y) = (3,4), (3,-4), (-3,-4), (-3, 4).\r\n" );
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