Question 300360
{{{0.64x^2-0.041x+3=54.471 }}}
{{{0.64x^2-0.041x-51.471=0 }}}
Use the quadratic formula,
{{{x = (-(-.041) +- sqrt( (.041)^2-4*0.64*(51.471) ))/(2*0.64) }}}
{{{x = (0.041 +- sqrt( 0.001681+131.76576) )/(1.28) }}}
{{{x = (0.041 +- 11.479 )/(1.28) }}}
Only the positive x value makes sense in this problem,
{{{x = 11.52/1.28 }}}
{{{x = 9}}}
Nine years after 1997 (or 2006), the population will be 54,471.