document.write( "Question 31046This question is from textbook Algebra 2, Student Edition
\n" ); document.write( ": the square root of (3x+10) = 1 + the square root of (2x+5) \n" ); document.write( "

Algebra.Com's Answer #17816 by Cintchr(481) $\"\"$ $\"About$

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$\"+sqrt%283x%2B10%29+=+1+%2B+sqrt%282x%2B5%29+\"$ square both sides
\n" ); document.write( " $\"+3x+%2B+10+=+%281+%2B+sqrt%282x%2B5%29%29%281+%2B+sqrt%282x%2B5%29%29+\"$ foil the right side
\n" ); document.write( "F: $\"+1+%2A+1+=+1+\"$
\n" ); document.write( "O: $\"+1+%2A+sqrt%282x%2B5%29+=+sqrt%282x%2B5%29+\"$
\n" ); document.write( "I: $\"+1+%2A+sqrt%282x%2B5%29+=+sqrt%282x%2B5%29+\"$
\n" ); document.write( "L: $\"+sqrt%282x%2B5%29%2Asqrt%282x%2B5%29+=+2x%2B5+\"$ combine like terms
\n" ); document.write( " $\"+3x+%2B+10+=+1+%2B+sqrt%282x%2B5%29+%2B+sqrt%282x%2B5%29+%2B+2x+%2B+5+\"$
\n" ); document.write( " $\"+3x+%2B+10+=+6+%2B+2%28sqrt%282x%2B5%29%29+%2B+2x+\"$ Move everything AWAY from the sqrt
\n" ); document.write( " $\"+x+%2B+4+=+2%28sqrt%282x%2B5%29%29+\"$ divide all parts by 2
\n" ); document.write( " $\"+1x%2F2+%2B+2+=+sqrt%282x%2B5%29+\"$ square both sides
\n" ); document.write( " $\"+%281%2F4%29x%5E2+%2B+2x+%2B+4+=+2x+%2B+5+\"$ move everything to the left side
\n" ); document.write( " $\"+%281%2F4%29x%5E2+-+1+=+0+\"$ This is the difference of two squares.
\n" ); document.write( " $\"+%28%281%2F2%29x+-1%29%28%281%2F2%29x%2B1%29+=+0+\"$
\n" ); document.write( " $\"1x%2F2+-1+=+0+\"$ and $\"1x%2F2+%2B1+=+0+\"$ solve for x in both equations
\n" ); document.write( " $\"+1x%2F2+=+1+\"$ and $\"+1x%2F2+=+-1+\"$
\n" ); document.write( " $\"+x+=+2+\"$ and $\"+x+=+-2+\"$ \n" ); document.write( "

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