document.write( "Question 1150798: What is the negative reciprocal of the sum of all values of x that satisfy the equation (x-√(x+1))/(x+√(x+1))=11/5? \n" ); document.write( "
Algebra.Com's Answer #772321 by MathTherapy(10552)\"\" \"About 
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What is the negative reciprocal of the sum of all values of x that satisfy the equation (x-√(x+1))/(x+√(x+1))=11/5?
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When  is solved, \"matrix%281%2C7%2C+x%2C+%22=%22%2C+-+8%2F9%2C+or%2C+x%2C+%22=%22%2C+8%29\"
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document.write( "However, x = 8 DOES NOT satisfy the equation, and is therefore considered to be an EXTRANEOUS solution, thereby leaving \"-+8%2F9\" as the SOLE value of x that satisfies the equation.
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document.write( "And, as the sum of the x-values that SATISFY the equation is being sought, the answer is simply the NEGATIVE reciprocal of the SOLE solution, \"-+8%2F9\", which is: \"highlight_green%289%2F8%29\" \n" );
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