document.write( "Question 1196201:
\r\n" ); document.write( "Suppose x is a positive number such that $\"x%5E2=1-x\"$ . There is a unique choice of whole numbers p and q so that $\"x%5E8=p-qx\"$ . Find p+q.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "My attempt:\r\n" ); document.write( "I know that if $\"x%5E2=1-x\"$ , then $\"x%5E8=%281-x%29%5E4\"$ , which simplifies to $\"1+-+4x+%2B+6x%5E2+-+4x%5E3+%2Bx%5E4\"$ . Then what?\r\n" ); document.write( "
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Algebra.Com's Answer #829053 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "Suppose x is a positive number such that . There is a unique choice of whole numbers p and q so that . Find p+q.\r\n" );
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document.write( "My attempt:\r\n" );
document.write( "I know that if , then , which simplifies to . Then what?\r\n" );
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                   I got p + q = 34\r\n" );
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document.write( "                   \r\n" );
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document.write( "You already know that: \r\n" );
document.write( "                   So,  ---- Substituting  \r\n" );
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document.write( "                          \r\n" );
document.write( "                           ----- Substituting 1 - x for x²\r\n" );
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document.write( "              Finally, , so p = 13, and q = 21. Therefore, p + q = 13 + 21 = 34

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