document.write( "Question 465839: looking for the solution and explanation for this problem\r
\n" ); document.write( "\n" ); document.write( "square root x+2 = 5- square root x-3\r
\n" ); document.write( "\n" ); document.write( "thanks
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Algebra.Com's Answer #319228 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
looking for the solution and explanation for this problem
\n" ); document.write( "square root x+2 = 5- square root x-3
\n" ); document.write( "...
\n" ); document.write( "√(x+2)=5-√(x-3)
\n" ); document.write( "place all radicals on one side of the equation
\n" ); document.write( "√(x+2)+√(x-3)=5
\n" ); document.write( "square both sides; eg,(a+b)^2=(a^2+2ab+b^2)
\n" ); document.write( "x+2+2√(x+2)(x-3)+x-3=25
\n" ); document.write( "place all radicals on one side of the equation again
\n" ); document.write( "2√(x+2)(x-3)=25+1-2x=26-2x
\n" ); document.write( "square both sides again
\n" ); document.write( "4(x+2)(x-3)=26^2+2*26*-2x+4x^2
\n" ); document.write( "4(x^2-x-6)=676-104x+4x^2
\n" ); document.write( "4x^2-4x-24=676+104x+4x^2
\n" ); document.write( "100x=700
\n" ); document.write( "x=7
\n" ); document.write( "Check:
\n" ); document.write( "√(x+2)=5-√(x-3)
\n" ); document.write( "√(7+2)=5-√(7-3)
\n" ); document.write( "√9=5-√4
\n" ); document.write( "3=5-2=3
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