document.write( "Question 79106: I need to solve for w and find the solution set for the following: Sqrt (5w-1) = w-3. I multiplied both sides by sqrt (5w-1) and got (5w-1) = w-3(sqrt (5w-1). \n" ); document.write( "

Algebra.Com's Answer #56764 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for w:
\n" ); document.write( " $\"sqrt%285w-1%29+=+w-3\"$ Square both sides.
\n" ); document.write( " $\"5w-1+=+w%5E2-6w%2B9\"$ Subtract 5w from both sides.
\n" ); document.write( " $\"-1+=+w%5E2-11w%2B9\"$ Add 1 to both sides.
\n" ); document.write( " $\"0+=+w%5E2-11w%2B10\"$ Factor this quadratic equation.
\n" ); document.write( " $\"0+=+%28w-1%29%28w-10%29\"$ Apply the zero products principle:
\n" ); document.write( " $\"w-1+=+0\"$ or $\"w-10+=+0\"$ so...
\n" ); document.write( " $\"w+=+1\"$ or $\"w+=+10\"$ \n" ); document.write( "

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