A culture of bacteria has an initial population of 980 bacteria and doubles every 9 hours. Using the formula Pt = Po · 2 t/d, where Pt is the population after t hours, Po is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?​

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

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We can complete the square to get a standard form quadratic into vertex form. First, add Y and 34 to the right side of the equation. You’ll get -5x^2 + 30x = y + 34.
Next, you need to factor out a -5 from the left side, so you’ll get -5(x^2 -6x) = y + 34. Then, complete the square on the left. You’ll get -5(x-3)^2 = y - 11. Finally, add 11. The answer is y = -5(x-3)^2 + 11