document.write( "Question 53060: I have a question which states to find all the real solutions. If any of each equation where they appear a,b,m and n are positive constants\r
\n" ); document.write( "\n" ); document.write( "square root of x + 1 + square root of x-1 = square root of 2x+1 \n" ); document.write( "

Algebra.Com's Answer #35383 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28x+%2B+1%29+%2B+sqrt%28x+-+1%29+=+sqrt%282x+%2B+1%29\"$
\n" ); document.write( " $\"2%2Asqrt%28x+%2B+1%29%2Asqrt%28x+-+1%29+%2B+%28x+%2B+1%29+%2B+%28x+-+1%29+=+2x+%2B+1\"$
\n" ); document.write( " $\"sqrt%28x+%2B+1%29%2Asqrt%28x+-+1%29+=+1%2F2\"$
\n" ); document.write( " $\"%28x+%2B+1%29%28x+-+1%29+=+1%2F4\"$
\n" ); document.write( " $\"x%5E2+=+5%2F4\"$
\n" ); document.write( " $\"x+=+sqrt%285%29%2F2\"$ and $\"x+=+-sqrt%285%29%2F2\"$ ~> won't work because you can not take the square root of a negative value
\n" ); document.write( "Answer: $\"sqrt%285%29%2F2\"$
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