document.write( "Question 726261: Stuck on solving this type of question.\r
\n" ); document.write( "\n" ); document.write( "x^8 + x^16 = 1.\r
\n" ); document.write( "\n" ); document.write( "Also if you have time\r
\n" ); document.write( "\n" ); document.write( "2*x^16(x^(8)-1) = x^24 - 1\r
\n" ); document.write( "\n" ); document.write( "These are arising in financial mathematics problem I am working on.\r
\n" ); document.write( "\n" ); document.write( "I do know the answers as they are given, but no idea how to simplify or solve this problem by hand. \n" ); document.write( "
Algebra.Com's Answer #444539 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Stuck on solving this type of question.
\n" ); document.write( "x^8 + x^16 = 1.
\n" ); document.write( "Convert to a Quadratic Equation Form:
\n" ); document.write( "(x^8)^2 + x^8 - 1 = 0
\n" ); document.write( "Use the quadratic formula:
\n" ); document.write( "x^8 = [-1 +-sqrt(1-4*-1)}/2
\n" ); document.write( "x^8 = [-1 +-sqrt(5)]/2
\n" ); document.write( "x = the +-8th root of the value on the right side.
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\n" ); document.write( "Also if you have time
\n" ); document.write( "2*x^16(x^(8)-1) = x^24 - 1
\n" ); document.write( "2*x^24-2*x^16 = x^24-1
\n" ); document.write( "x^24 - 2x^16 + 1 = 0
\n" ); document.write( "Solution: x = 1 or x = -1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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