The solution above is incorrect due to a careless error:\r
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document.write( "3𝑥^2 − 2𝑥𝑦 + 𝑦^2 − 1 = 0 and
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document.write( "𝑥 =(2𝑦+1)/𝑥
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document.write( "x^2 = (2y+1)
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document.write( "3𝑥^2 − 2𝑥𝑦 + 𝑦^2 − 1 = 0
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document.write( "3(2y+1)^2 -2y(2y+1) -1=0 <--This step is wrong because she omitted the
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document.write( " y2 term which vitiated the rest.
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document.write( "Substitute 
for y in:\r\n" );
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document.write( "Multiply through by 4\r\n" );
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document.write( "This has no rational zeros, but it has 2 real irrational solutions, which\r\n" );
document.write( "can be approximated by technology. I used a TI-84 graphing calculator.\r\n" );
document.write( "Then I substituted the approximation values of x in to\r\n" );
document.write( "find y. The approximations of the solutions are:\r\n" );
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document.write( "(x,y) ≈ (-0.6564052299,-0.2845660870)\r\n" );
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document.write( "(x,y) ≈ (0.40293604482,-0.4188212719) \r\n" );
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document.write( "Edwin
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
