SOLUTION: I am really having troubles with these word problems. an experimental drug is being tested on a bacteria colony. It is found that t days after treating the colony, the number N

Question 762488: I am really having troubles with these word problems.
an experimental drug is being tested on a bacteria colony. It is found that t days after treating the colony, the number N of bacteria per cubic centimeter is given by the equation N = 20t^2 -220t - 558. How long until the colony is reduced to 1482 bacteria

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The question is the same as, what is t when N=1482 ?
You would have and solve for t.
Simplify the equation a bit:

Factorable...

and you are interested in only the .
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

use the equation and plug in bacteria

.....all terms divide by

......since we are looking for a time, we will find only positive value of

days until the colony is reduced to bacteria

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