document.write( "Question 464614: $\"x%2Bsqrt%283x%2B1%29=13\"$ \n" ); document.write( "

Algebra.Com's Answer #318339 by robertb(5830) $\"\"$ $\"About$

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Transpose x to the right side:\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%283x+%2B+1%29+=+13+-+x\"$ \r
\n" ); document.write( "\n" ); document.write( "Square both sides:\r
\n" ); document.write( "\n" ); document.write( " $\"3x%2B1+=+%2813+-+x%29%5E2+=+169+-+29x+%2B+x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "<==> $\"0+=+168+-+29x+%2B+x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "<==> 0 = (21 - x)(8 - x) ==> x = 21, 8.\r
\n" ); document.write( "\n" ); document.write( "x = 21 is not a solution, because 21 > 13, and $\"sqrt%283x+%2B+1%29+%3E=+0\"$ .\r
\n" ); document.write( "\n" ); document.write( "x = 8 satisfies the equation, and thus is the final answer.
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