document.write( "Question 1200073: By using the Intermediate Value Theorem, show that the equation: nth root of x = 1-x has at least one solution in the open interval (0,1) for any positive integer n>=3. \r
\n" ); document.write( "\n" ); document.write( ">= means greater than or equal to \n" ); document.write( "
Algebra.Com's Answer #834092 by ikleyn(52906)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Similar statement is valid even for  n = 2,  too,\r
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\n" ); document.write( "\n" ); document.write( "so you can replace the inequality  n >= 3  in your post by more strong inequality  n >= 2.\r
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\n" ); document.write( "\n" ); document.write( "Otherwise,  a knowledgeable person may ask   \" why  n= 2  is not included ? \"\r
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