document.write( "Question 1161885: If x = 2 - √2, evaluate x2 + 1/x2 \n" ); document.write( "
Algebra.Com's Answer #785527 by Alan3354(69443)\"\" \"About 
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If x = 2 - √2, evaluate x2 + 1/x2
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\n" ); document.write( "Use ^ (Shift 6) for exponents.
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\n" ); document.write( "If x = 2 - √2, evaluate x^2 + 1/x^2
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\n" ); document.write( "x^2 = 2^2 - 4sqrt(2) + 2 = 6 - sqrt(32)
\n" ); document.write( "---> (6 - sqrt(32)) + 1/(6 - sqrt(32))
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\n" ); document.write( "= (6 - sqrt(32)) + (6 + sqrt(32))/(36 - 32)
\n" ); document.write( "= (6 - sqrt(32)) + (6 - sqrt(32))/4
\n" ); document.write( "= 5(6 - sqrt(32))/4
\n" ); document.write( "= 5(3 - sqrt(8))
\n" ); document.write( "= 15 - sqrt(200)\r
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