document.write( "Question 258224: Please help me solve this equation $\"square+root+of+x+-+square+root+of+x-5+=1\"$ \n" ); document.write( "

Algebra.Com's Answer #190076 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"sqrt%28x%29-sqrt%28x-5%29+=+1\"$ Add $\"sqrt%28x-5%29\"$ to both sides.
\n" ); document.write( " $\"sqrt%28x%29+=+sqrt%28x-5%29%2B1\"$ square both sides.
\n" ); document.write( " $\"%28sqrt%28x%29%29%5E2+=+%28sqrt%28x-5%29%2B1%29%5E2\"$
\n" ); document.write( " $\"x+=+%28x-5%29%2B2%2Asqrt%28x-5%29%2B1\"$ Simplify.
\n" ); document.write( " $\"x+=+x-4%2B2sqrt%28x-5%29\"$ Add 4 to both sides.
\n" ); document.write( " $\"x%2B4+=+x%2B2sqrt%28x-5%29\"$ Subtract x from both sides.
\n" ); document.write( " $\"4+=+2sqrt%28x-5%29\"$ Divide both sides by 2.
\n" ); document.write( " $\"2+=+sqrt%28x-5%29\"$ Square both sides.
\n" ); document.write( " $\"4+=+x-5\"$ Add 5 to both sides.
\n" ); document.write( " $\"9+=+x\"$ or $\"highlight%28x+=+9%29\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"sqrt%28x%29-sqrt%28x-5%29+=+1\"$ Substitute x = 9.
\n" ); document.write( " $\"sqrt%289%29-sqrt%289-5%29+=+1\"$ Evaluate.
\n" ); document.write( " $\"3-2+=+1\"$ \n" ); document.write( "

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