document.write( "Question 955053: $\"\"$ sqrt ( 2x-1 )+ sqrt ( 2-x ) =2 \n" ); document.write( "

Algebra.Com's Answer #583398 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%282x-1%29%2B+sqrt%282-x%29=2\"$
\n" ); document.write( " $\"sqrt%282x-1%29=2-+sqrt%282-x%29\"$
\n" ); document.write( " $\"2x-1=4-4sqrt%282-x%29%2B%282-x%29\"$
\n" ); document.write( " $\"2x-1=6-x-4sqrt%282-x%29\"$
\n" ); document.write( " $\"3x-7=-4sqrt%282-x%29\"$
\n" ); document.write( " $\"9x%5E2-42x%2B49=16%282-x%29\"$
\n" ); document.write( " $\"9x%5E2-42x%2B49=32-16x\"$
\n" ); document.write( " $\"9x%5E2-26x%2B17=0\"$
\n" ); document.write( " $\"%28x-1%29%289x-17%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"9x-17=0\"$
\n" ); document.write( " $\"9x=17\"$
\n" ); document.write( " $\"x=17%2F9\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Checking,
\n" ); document.write( " $\"sqrt%282%281%29-1%29%2Bsqrt%282-1%29=2\"$
\n" ); document.write( " $\"sqrt%282-1%29%2Bsqrt%281%29=2\"$
\n" ); document.write( " $\"1%2B1=2\"$
\n" ); document.write( " $\"2=2\"$
\n" ); document.write( "True, good solution.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"sqrt%282%2817%2F9%29-1%29%2Bsqrt%282-17%2F9%29=2\"$
\n" ); document.write( " $\"sqrt%2834%2F9-9%2F9%29%2Bsqrt%2818%2F9-17%2F9%29=2\"$
\n" ); document.write( " $\"sqrt%2825%2F9%29%2Bsqrt%281%2F9%29=2\"$
\n" ); document.write( " $\"5%2F3%2B1%2F3=2\"$
\n" ); document.write( " $\"6%2F3=2\"$
\n" ); document.write( " $\"2=2\"$
\n" ); document.write( "True, good solution.
\n" ); document.write( " \n" ); document.write( "

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