document.write( "Question 61230This question is from textbook College Algebra Graphs and Models
\n" ); document.write( ": I thought I new how to do these but I guess I was wrong! Please help me! \r
\n" ); document.write( "\n" ); document.write( "Solve\r
\n" ); document.write( "\n" ); document.write( "(radical)(x-3) + (radical)(x-2) = 5\r
\n" ); document.write( "\n" ); document.write( "I know you have to isolate the radicals on opposite sides of the equation, but I have no idea how to solve after that! Please help!
\n" ); document.write( "Thank you!
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Algebra.Com's Answer #42135 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
(radical)(x-3) + (radical)(x-2) = 5
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\n" ); document.write( "SqRt(x-3) = 5 - SqRt(x-2)
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\n" ); document.write( "Square both sides, FOIL (5-SqRt(x-2))^2 and you have:
\n" ); document.write( "(x - 3) = 25 - 10*SqRt(x-2) + (x-2)
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\n" ); document.write( "x - 3 = 25 - 2 - 10*SqRt(x-2) + x
\n" ); document.write( "x - 3 = 23 - 10*SqRt(x-2) + x
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\n" ); document.write( "Isolate the radical on the right:
\n" ); document.write( "x - x - 3 - 23 = -10*SqRt(x-2)
\n" ); document.write( "-26 = -10*SqRt(x-2)
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\n" ); document.write( "Square both sides again:
\n" ); document.write( "+676 = +100(x-2)
\n" ); document.write( "+676 = 100x - 200
\n" ); document.write( "676 + 200 = 100x
\n" ); document.write( "876 = 100x
\n" ); document.write( "x = 876/100
\n" ); document.write( "x = 8.76:
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\n" ); document.write( "Check using 8.76 for x in original equation;
\n" ); document.write( "SqRt(5.76) + SqRt(6.76) =
\n" ); document.write( " 2.4 + 2.6 = 5
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\n" ); document.write( "You got it now?
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