document.write( "Question 45144: solve: -x^4+200=102x^2 \n" ); document.write( "
Algebra.Com's Answer #29955 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Is the problem really \"-x%5E4%2B200=102x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Set this equal to zero with the x^4 term positive by adding x^4 -200 to each side:
\n" ); document.write( "0=x^4 +102x^2 -200.\r
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\n" ); document.write( "\n" ); document.write( "Now, are you sure you copied this problem correctly, because if the signs had been different, it would have factored nicely. If it had been x^4 +200 = 102x^2, then it would have factored. By subtracting 102x^2 from each side you get:
\n" ); document.write( "x^4 -102x^2+ 200 = 0
\n" ); document.write( "(x^2 - 100)(x^2-2) = 0\r
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\n" ); document.write( "\n" ); document.write( "From this there will be two possibilities, each of which has two solutions:
\n" ); document.write( "x^2 - 100 = 0
\n" ); document.write( "x^2 = 100
\n" ); document.write( "x= 10 or x = -10\r
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\n" ); document.write( "\n" ); document.write( "The second possibility is
\n" ); document.write( "x^2 - 2 = 0
\n" ); document.write( "x^2 = 2
\n" ); document.write( "\"x=+sqrt%282%29\" or \"x=-sqrt%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "If the problem was correctly stated, then the quadratic formula or completing the square method must be applied.\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC\r
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