document.write( "Question 250852: A complicated question: \"Find both roots of the following equation to the nearest tenth. (a+3)(squared)+(a-3)(squared)=256.\" \n" ); document.write( "
Algebra.Com's Answer #182668 by ankor@dixie-net.com(22740)\"\" \"About 
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\"Find both roots of the following equation to the nearest tenth.
\n" ); document.write( " (a+3)(squared)+(a-3)(squared)=256.\"
\n" ); document.write( ":
\n" ); document.write( "\"%28a%2B3%29%5E2+%2B+%28a-3%29%5E2\" = \"256\"
\n" ); document.write( "FOIL
\n" ); document.write( "\"a%5E2+%2B+6a+%2B+9+%2B+a%5E2+-+6a+%2B+9+=+256\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"a%5E2+%2B+a%5E2+%2B+6a+-+6a+%2B+9+%2B+9+=+256\"
\n" ); document.write( "\"2a%5E2+%2B+18+=+256\"
\n" ); document.write( "\"2a%5E2+=+256+-+18\"
\n" ); document.write( "\"2a%5E2+=+238\"
\n" ); document.write( "\"a%5E2+=+238%2F2\"
\n" ); document.write( "\"a%5E2+=+119\"
\n" ); document.write( "a = +/-\"sqrt%28119%29\"
\n" ); document.write( "a = +10.9
\n" ); document.write( "a = -10.9
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation
\n" ); document.write( "13.9^2 + 7.9^2 = 255.6 ~ 256
\n" ); document.write( "
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