Question

a group of n people bought a ticket for a vacation rm 2520. suddenly 4 people canceled and the remaining needs to pay rm 224 each. show than n^2 -4n - 45=0

Answer 1

The remaining 9 people each had to pay RM224.

Explanation:

The equation n^2 - 4n - 45 = 0 represents the relationship between the number of people who bought a ticket and the cost per person after 4 people cancel. To find the value of n, we can use the quadratic formula:

n = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = -4, and c = -45. Plugging these values into the formula, we get:

n = (-(-4) ± √((-4)^2 - 4(1)(-45))) / 2(1)

n = (4 ± √(16 + 180)) / 2

n = (4 ± √(196)) / 2

n = (4 ± 14) / 2

n = 9 or n = -5

However, the number of people cannot be negative, so the solution is n = 9. This means that there were originally 9 people who bought the ticket, and after 4 people cancelled, the remaining 9 people each had to pay RM224.