document.write( "Question 256876: The number of people infected after t days is P=200+5t-t^2.
\n" ); document.write( "Find the number of days until the number of people infected is 176.
\n" ); document.write( "Help! What are the steps to solve this equation? \n" ); document.write( "

Algebra.Com's Answer #188912 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
We start with the equation:
\n" ); document.write( " $\"P=200%2B5t-t%5E2\"$
\n" ); document.write( "P = 176, so we get
\n" ); document.write( " $\"176+=+200+%2B+5t+-+t%5E2\"$
\n" ); document.write( "So, we get
\n" ); document.write( " $\"t%5E2+-+5t+-24+=+0\"$
\n" ); document.write( "factoring, we get
\n" ); document.write( " $\"%28t-8%29%28t%2B3%29=0\"$
\n" ); document.write( "solving for t, we get
\n" ); document.write( "t = 8; t = -3.
\n" ); document.write( "Since time is not negative, we get
\n" ); document.write( " t = 8 days \n" ); document.write( "

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