document.write( "Question 1132094: The negative reciprocal of the sum of all values of x that satisfy the equation (x-√x+1)/(x+√x+1)=11/5 is... \n" ); document.write( "
Algebra.Com's Answer #748978 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"%28x-sqrt%28x%29%2B1%29%2F%28x%2Bsqrt%28x%29%2B1%29=11%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"5%28x-sqrt%28x%29%2B1%29=11%28x%2Bsqrt%28x%29%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5x-5sqrt%28x%29%2B5=11x%2B11sqrt%28x%29%2B11\"\r
\n" ); document.write( "\n" ); document.write( "\"0=11x-5x%2B5sqrt%28x%29%2B11sqrt%28x%29%2B11-5\"\r
\n" ); document.write( "\n" ); document.write( "\"0=6x%2B16sqrt%28x%29%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"-%286x%2B6%29=16sqrt%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-3%28x%2B1%29=8sqrt%28x%29\" => no solution exist\r
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\n" ); document.write( "\n" ); document.write( "but, if you have this:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-sqrt%28x%2B1%29%29%2F%28x%2Bsqrt%28x%2B1%29%29=11%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"5%28x-sqrt%28x%2B1%29%29=11%28x%2Bsqrt%28x%2B1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5x-5sqrt%28x%2B1%29%29=11x%2B11sqrt%28x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5x-11x=11sqrt%28x%2B1%29%2B5sqrt%28x%2B1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-6x=16sqrt%28x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-6x%2F16=sqrt%28x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-3x%2F8=sqrt%28x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28-3x%2F8%29%5E2=%28sqrt%28x%2B1%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%5E2%2F64=x%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%5E2=64x%2B64\"\r
\n" ); document.write( "\n" ); document.write( "\"9x%5E2-64x-64=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-+8%29+%289+x+%2B+8%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"x=8\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-8%2F9\"\r
\n" ); document.write( "\n" ); document.write( "only \"x=-8%2F9\" satisfy \"%28x-sqrt%28x%2B1%29%29%2F%28x%2Bsqrt%28x%2B1%29%29=11%2F5\"
\n" ); document.write( "The negative reciprocal of the sum of all values of \"x\" that satisfy the equation: \r
\n" ); document.write( "\n" ); document.write( " the negative reciprocal of \"x=-8%2F9\" is \"9%2F8\" \r
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