document.write( "Question 76668: Can you please help me to solve this problem for X:
\n" ); document.write( " 2x (under radical) - 3x+1 (under radical) = 1\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance,
\n" ); document.write( "Fawn Gallagher \n" ); document.write( "

Algebra.Com's Answer #54985 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"sqrt%282x%29+-+sqrt%283x%2B1%29+=+1\"$ First, add $\"sqrt%283x%2B1%29\"$ to both sides of the equation.
\n" ); document.write( " $\"sqrt%282x%29+=+sqrt%283x%2B1%29+%2B+1\"$ Now square both sides.
\n" ); document.write( " $\"2x+=+%283x%2B1%29+%2B+2sqrt%283x%2B1%29+%2B+1\"$ Then, simplify this so that the radical is on one side by itself by subtracting 3x from both sides.
\n" ); document.write( " $\"-x+=+2sqrt%283x%2B1%29+%2B+2\"$ Subtract 2 from both sides.
\n" ); document.write( " $\"-x-2+=+2sqrt%283x%2B1%29\"$ Now square both sides. $\"%28-x-2%29%5E2+=+x%5E2%2B4x%2B4\"$
\n" ); document.write( " $\"x%5E2%2B4x%2B4+=+4%283x%2B1%29\"$ Simplify.
\n" ); document.write( " $\"x%5E2%2B4x%2B4+=+12x%2B4\"$ Subtract 12x from both sides.
\n" ); document.write( " $\"x%5E2-8x%2B4+=+4\"$ Subtract 4 from both sides.
\n" ); document.write( " $\"x%5E2-8x+=+0\"$ Factor an x.
\n" ); document.write( " $\"x%28x-8%29+=+0\"$ Apply the zero product principle. (If A*B = 0, then either A = 0, or B = 0, or both)
\n" ); document.write( " $\"x+=+0\"$ and/or $\"x-8+=+0\"$
\n" ); document.write( "So, $\"x+=+0\"$ or $\"x+=+8\"$
\n" ); document.write( " \n" ); document.write( "

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