document.write( "Question 99003: This one has kicked my skunk over and over! I know the answer is 4 & 20, but I cannot see how to arrive at that answer.\r
\n" ); document.write( "\n" ); document.write( " 4y+20 under the radical sign - y-4 under the radical sign = 6\r
\n" ); document.write( "\n" ); document.write( "I hope I explained that well enough. I tried to cut and paste the problem out of my Microsoft Word file but it did not work.
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Algebra.Com's Answer #72049 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
4y+20 under the radical sign - y-4 under the radical sign = 6
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\n" ); document.write( "Rearrange:
\n" ); document.write( "sqrt(4y+20) = sqrt(y-4)+6
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "(4y+20) = (y-4)+12sqrt(y-4)+36
\n" ); document.write( "12sqrt(y-4)= 4y+20-(y-4)-36
\n" ); document.write( "12sqrt(y-4) = 3y-12
\n" ); document.write( "4sqrt(y-4) = y-4
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "16(y-4) = y^2-8y+16
\n" ); document.write( "y^2-24y+80 =0
\n" ); document.write( "(y-4)(y-20)=0
\n" ); document.write( "y = 4 or y = 20
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\n" ); document.write( "Check these answers in the original equation.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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