document.write( "Question 156760: The question is solve:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-2%2Fx%29%5E2%2B4%28x-2%2Fx%29=5\"\r
\n" ); document.write( "\n" ); document.write( "The closet I have come to solving this is probably way off.\r
\n" ); document.write( "\n" ); document.write( "I have ended up with:
\n" ); document.write( "\"x%5E4=9\" and
\n" ); document.write( "\"x%5E4-4x%2B4%2Fx%5E2%2B4x-8%2Fx=5\"\r
\n" ); document.write( "\n" ); document.write( "Any help would be greatly appreciated.\r
\n" ); document.write( "\n" ); document.write( "Thanks to all the online tutors out there...\r
\n" ); document.write( "\n" ); document.write( "Bill W\r
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Algebra.Com's Answer #115599 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
\"%28x-2%2Fx%29%5E2%2B4%28x-2%2Fx%29=5\"
\n" ); document.write( "Let a=x-(2/x)
\n" ); document.write( "a^2+4a=5
\n" ); document.write( "a^2+4a-5=0
\n" ); document.write( "(a+5)(a-1)=0
\n" ); document.write( "a=-5, a=1
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\n" ); document.write( "x-(2/x)=-5
\n" ); document.write( "x^2-2=-5x mult each side by x
\n" ); document.write( "x^2+5x-2=0
\n" ); document.write( "x^2+5x =2
\n" ); document.write( "x^2+5x+25/4=2+25/4 completing the square.
\n" ); document.write( "(x+(5/2))^2=33/4
\n" ); document.write( "x+(5/2)=+-sqrt(33)/2
\n" ); document.write( "x=(-5+sqrt(33))/2, x=(-5-sqrt(33))/2
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\n" ); document.write( "x-(2/x)=1
\n" ); document.write( "x^2-2=x
\n" ); document.write( "x^2-x-2=0
\n" ); document.write( "(x-2)(x+1)=0
\n" ); document.write( "x=2, x=-1
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\n" ); document.write( "Ed\r
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