I couldn't write it out in detail, so the solution is 200. The work is visible in the image below if you need clarification. I hope this is useful to you!
Answer: Adiya's approach is incorrect. To construct a perfect square trinomial, one must isolate the constant on one side of the equation. The coefficient of the term with an exponent of 1 regarding the variable is essential to calculate the constant in the perfect square trinomial. The first step for Adiya should be to reposition the 20x term to the same side of the equation as x2. Then, she should divide 20 by 2, square that result, and add 100 to both sides.
The differential equation can be expressed as:
dN/dt = k(P-N)
dN/dt = k(6100000 - N)
Detailed explanation:
This indicates that the quantity N of individuals aware of a certain rumor is proportional to the number of those who have yet to learn of it.
The derivative of the number who has heard the rumor is denoted as dN/dt
dN/dt = k(P-N)
dN/dt = k(6100000 - N)
Where P denotes the city's total population = P = 6100000
k acts as the constant of proportionality.
(P-N) reflects the count of individuals who haven't heard the rumor.
