document.write( "Question 77353: solve for x
\n" ); document.write( "(square root 3x+1) -1=x-4 \n" ); document.write( "

Algebra.Com's Answer #55479 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x: Hint: Isolate the radical.
\n" ); document.write( " $\"sqrt%283x%2B1%29-1+=+x-4\"$ First, add 1 to both sides of the equation.
\n" ); document.write( " $\"sqrt%283x%2B1%29+=+x-3\"$ Now square both sides.
\n" ); document.write( " $\"3x%2B1+=+x%5E2-6x%2B9\"$ Next, subtract 3x from both sides.
\n" ); document.write( " $\"1+=+x%5E2-9x%2B9\"$ Now subtract 1 from both sides.
\n" ); document.write( " $\"0+=+x%5E2-9x%2B8\"$ or:
\n" ); document.write( " $\"x%5E2-9x%2B8+=+0\"$ Solve this quadratic equation by factoring.
\n" ); document.write( " $\"%28x-8%29%28x-1%29+=+0\"$ Apply the zero products principle:
\n" ); document.write( " $\"x-8+=+0\"$ or $\"x-1+=+0\"$
\n" ); document.write( "The solutions:
\n" ); document.write( " $\"x+=+8\"$
\n" ); document.write( " $\"x+=+1\"$ \n" ); document.write( "

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