document.write( "Question 467547: Can someone please explain this? This was a challenge question from the instructor.\r
\n" ); document.write( "\n" ); document.write( "√x - √(x - 5) = 1\r
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Algebra.Com's Answer #320817 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+sqrt%28x%29-sqrt%28x-5%29=1\"$ \r
\n" ); document.write( "\n" ); document.write( "square both sides
\n" ); document.write( " $\"x-2sqrt%28x%29%2Asqrt%28x-5%29+%2Bx-5=1%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-2sqrt%28x%29%2Asqrt%28x-5%29=1%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%282x-6%29=+2+sqrt%28x%29%2Asqrt%28x-5%29\"$ \r
\n" ); document.write( "\n" ); document.write( "square both side
\n" ); document.write( " $\"%282x-6%29%5E2=+4x%28x-5%29\"$
\n" ); document.write( " $\"4x%5E2-24x%2B36=4x%5E2-20x\"$
\n" ); document.write( "-24x+20x=-36
\n" ); document.write( "-4x=-36
\n" ); document.write( "x=9\r
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