document.write( "Question 567489: square root of y+8 minus square root of y-6 equals -3, Help!
\n" ); document.write( "I have tried isolating one of the radicals and raising both sides to the power of the index, then isolating the radical again, but webassign isnt taking my answer! I come up with 6 25/36.
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Algebra.Com's Answer #366560 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
square root of y+8 minus square root of y-6 equals -3,
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\n" ); document.write( "\"sqrt%28y%2B8%29+-+sqrt%28y-6%29\" = -3
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\n" ); document.write( "\"sqrt%28y%2B8%29+=+sqrt%28y-6%29\" - 3
\n" ); document.write( "square both sides
\n" ); document.write( "y + 8 = [\"sqrt%28y-6%29\" - 3]^2
\n" ); document.write( "FOIL the right side
\n" ); document.write( "y + 8 = \"%28y-6%29+-+3sqrt%28y-6%29+-+3sqrt%28y-6%29+%2B+9\"
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\n" ); document.write( "y + 8 = y + 3 - \"6sqrt%28y-6%29\"
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\n" ); document.write( "y + 8 = y + 3 - \"6sqrt%28y-6%29\"
\n" ); document.write( "y - y + 8 - 3 = \"6sqrt%28y-6%29\"
\n" ); document.write( "5 = \"6sqrt%28y-6%29\"
\n" ); document.write( "square both side again
\n" ); document.write( "25 = 36(y-6)
\n" ); document.write( "25 = 36y - 216
\n" ); document.write( "25 + 216 = 36y
\n" ); document.write( "241 = 36y
\n" ); document.write( "y = \"241%2F36\"
\n" ); document.write( "y = 6.7 which about what you got, but the trouble is if we substitute this in the original problem we get a +3 not -3, therefore there is no solution
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