document.write( "Question 983935: 16+sqrt(16+sqrt(16+sqrt(16+sqrt(16+(sqrt(16....) \n" ); document.write( "
Algebra.Com's Answer #604745 by swincher4391(1107)\"\" \"About 
You can put this solution on YOUR website!
x = 16+sqrt(x)\r
\n" ); document.write( "\n" ); document.write( "x- sqrt(x) -16 = 0\r
\n" ); document.write( "\n" ); document.write( "y = sqrt(x)\r
\n" ); document.write( "\n" ); document.write( "y^2 - y -16 = 0\r
\n" ); document.write( "\n" ); document.write( "We'll only accept the positive solution since it would make sense that adding 16 to a square root will result positively.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%281+%2B+sqrt%281+-+4%28-16%29%29%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"+y+=+%281%2Bsqrt%2865%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28x%29+=+%281%2Bsqrt%2865%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"+x+=+%28%281%2Bsqrt%2865%29%29%2F2%29%5E2+=+20.53\" <--- answer
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