Answer:
The club lost during the years
[tex]4.89\ years < t < 11.29\ years[/tex]
Step-by-step explanation:
we have
[tex]p(t)=t^{3}-14t^{2}+20t+120[/tex]
where
t is the number of years after the takeover
p(t) is the profit of a football club after a takeover
we know that
If the club has a loss, then the profit is negative.
using a graphing tool
Plot the cubic equation
The profit p(t) is negative in the interval (4.89,11.29)
see the attached figure
Remember that the number of years t cannot be a negative number
therefore
The club lost during the years
[tex]4.89\ years < t < 11.29\ years[/tex]
