document.write( "Question 89471: solve.\r
\n" ); document.write( "\n" ); document.write( "sqrt(y+4)=y-8 \n" ); document.write( "
Algebra.Com's Answer #65072 by ankor@dixie-net.com(22740)\"\" \"About 
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sqrt(y+4) = y - 8
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\n" ); document.write( "Square both sides:
\n" ); document.write( "y + 4 = (y-8)^2
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\n" ); document.write( "FOIL (y-8)(y-8)
\n" ); document.write( "y + 4 = y^2 - 16y + 64
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\n" ); document.write( "0 = y^2 - 16y - y + 64 - 4
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\n" ); document.write( "y^2 - 17y + 60 = 0; a quadratic equation:
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\n" ); document.write( "Factors to:
\n" ); document.write( "(y-12)(y-5) = 0
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\n" ); document.write( "y = 12
\n" ); document.write( "and
\n" ); document.write( "y = 5
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\n" ); document.write( "Check both solutions in the original equation:
\n" ); document.write( "y = 12: sqrt(12+4) = 12 - 8; a good solution
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\n" ); document.write( "y = 5: sqrt(5+4) = 5 - 8
\n" ); document.write( " +3 = - 3 not a good solution
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