document.write( "Question 1178359: Solve y=1/x and x^2+y^2=2 simultaneously.
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Algebra.Com's Answer #807585 by math_helper(2461)\"\" \"About 
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document.write( "I can solve it this way (substitution):\r
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document.write( "\"y=1%2Fx\"
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document.write( "\"x%5E2%2By%5E2+=+2+\"\r
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document.write( "Substitute 1/x for y in the 2nd eqn: 
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document.write( "\"+x%5E2+%2B+%281%2Fx%29%5E2+=+2+\"\r
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document.write( "Simplifies to:
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document.write( "\"+x%5E4+-+2x%5E2+%2B+1+=+0+\"\r
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document.write( "Factors to:
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document.write( "\"+%28x%5E2+-+1%29+=+0+\"\r
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document.write( "Solutions: 
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document.write( "\"+x%5E2+=+1+\"  --> x = -1   and/or   x = 1\r
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document.write( "For x=-1  we get y=-1   and \"x%5E2%2By%5E2+=+%28-1%29%5E2%2B%28-1%29%5E2+=+1%2B1+=+2+\"
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document.write( "For x=1  we get y=1     and \"x%5E2%2By%5E2+=+%281%29%5E2+%2B+%281%29%5E2+=+1%2B1+=+2+\"\r
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document.write( "Both solutions (1,1) and (-1,-1) satisify the equations.\r
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