document.write( "Question 1118176: If x^2+x-1=0 what is the value of x^4+(1/x^4)? \n" ); document.write( "
Algebra.Com's Answer #733429 by ikleyn(52786)\"\" \"About 
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document.write( "  \"x%5E4+%2B+1%2Fx%5E4\" = \"%28x%5E2+%2B+1%2Fx%5E2%29%5E2\"-2 = Replace here x^2 with (1-x) since it is given = \"%28%28%281-x%29+%2B+1%2F%281-x%29%29%29%5E2\" - 2 = \r\n" );
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document.write( "= \"%28%28%281-x%29%5E2%2B1%29%2F%281-x%29%29%5E2\" - 2 = \"%28%281-2x%2Bx%5E2+%2B+1%29%2F%281-x%29%29%5E2\" - 2 = \"%28%282-2x%2Bx%5E2%29%2F%281-x%29%29%5E2\" - 2 = \"%28%28%282-2x%29%2Bx%5E2%29%2F%281-x%29%29%5E2\" - 2 = \"%28%282-2x%29%2F%281-x%29+%2B+x%5E2%2F%281-x%29%29%5E2\" - 2 \r\n" );
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document.write( "= \"%282+%2B+x%5E2%2F%281-x%29%29%5E2\" - 2 = replace \"x%5E2%2F%281-x%29\" with 1, since  \"x%5E2\" = (1-x) is given =\r\n" );
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document.write( "= \"%282%2B1%29%5E2\" - 2 = \"3%5E2\"-2 = 9 - 2 = 7.\r\n" );
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