- The populations of two towns are changing at steady rates. One town has a population of 25,500. Its population is increasing by 2000 people each year.
The other town has a population of 47,900. Its population is decreasing by
800 people each year. If the rates for each town remain the same, in how
many years will the populations be the same?

0.85% : )

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0