document.write( "Question 461745: How do I solve for t given the rational eqution: 1/t+5/(t+1)=10 \n" ); document.write( "
Algebra.Com's Answer #316581 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"1%2Ft%2B5%2F%28t%2B1%29=10\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%28t%2B1%29%2B5t%29%2Ft%28t%2B1%29=10\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%28t%2B1%29%2B5t%29=10%2At%28t%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t%2B1%2B5t=10%28t%5E2%2Bt%29\"\r
\n" ); document.write( "\n" ); document.write( "\"6t%2B1=10t%5E2%2B10t%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0=10t%5E2%2B10t-6t-1%29\"\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A10%2A%28-1%29+%29%29%2F%282%2A10%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"t+=+%28-4+%2B-+sqrt%28+16%2B40+%29%29%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-4+%2B-+sqrt%28+56+%29%29%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-4+%2B-+7.48%29%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-4+%2B+7.48%29%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+3.48%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+0.174+\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-4+-+7.48%29%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+-11.48%2F20+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+-0.574+\"\r
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\n" ); document.write( "\n" ); document.write( "check the results:\r
\n" ); document.write( "\n" ); document.write( "\"1%2Ft%2B5%2F%28t%2B1%29=10\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F0.174%2B5%2F%280.174%2B1%29=10\"\r
\n" ); document.write( "\n" ); document.write( "\"5.75%2B5%2F%281.174%29=10\"\r
\n" ); document.write( "\n" ); document.write( "\"5.75%2B4.26=10\"\r
\n" ); document.write( "\n" ); document.write( "\"5.75%2B4.26=10\"\r
\n" ); document.write( "\n" ); document.write( "\"10.01=10\"\r
\n" ); document.write( "\n" ); document.write( "\"10=10\"\r
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