document.write( "Question 950012: $\"+sqrt%28+x%2B7+%29%2Bsqrt+%28+3x-2+%29+=5+\"$ \n" ); document.write( "

Algebra.Com's Answer #580023 by Alan3354(69443) $\"\"$ $\"About$

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$\"+sqrt%28+x%2B7+%29%2Bsqrt+%28+3x-2+%29+=5+\"$
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\n" ); document.write( " $\"+sqrt%28x%2B7%29+=+5+-+sqrt%283x-2%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"x%2B7+=+25+-+10sqrt%283x-2%29+%2B+3x-2\"$
\n" ); document.write( "Collect terms and isolate the radical.
\n" ); document.write( " $\"10sqrt%283x-2%29+=+2x+%2B+16\"$
\n" ); document.write( "Reduce (optional)
\n" ); document.write( " $\"5%2Asqrt%283x-2%29+=+x+%2B+8\"$
\n" ); document.write( "Square again
\n" ); document.write( " $\"25%2A%283x-2%29+=+x%5E2+%2B+16x+%2B+64\"$
\n" ); document.write( " $\"75x-50+=+x%5E2+%2B+16x+%2B+64\"$
\n" ); document.write( " $\"x%5E2+-+59x+%2B+114+=+0\"$
\n" ); document.write( "(x-2)*(x-57) = 0
\n" ); document.write( "x = 2, x = 57
\n" ); document.write( "====================
\n" ); document.write( "x = 2 is clear.
\n" ); document.write( "For x = 57:
\n" ); document.write( " $\"sqrt%28x%2B7%29%2B+sqrt%283x-2%29+=5\"$
\n" ); document.write( " $\"sqrt%2864%29%2B+sqrt%28169%29+=5\"$
\n" ); document.write( "-8 + 13 = 5
\n" ); document.write( " \n" ); document.write( "

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