From 1993 to 2003 the cumulative number

N of AIDS cases in thousands can be approximated by
, where corresponds to
the year 1993.
N= -2x^2+ 76x + 430 x=0

N = -2x^2 + 76x + 430 = 0.

Solve, using the Quad. Formula and get:
x = 43, and -5.
Select + value of x:
x = 43,000 cases.