A rectangular auditorium seats 1540 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row.

Answer: 35 rows

Step-by-step explanation:

Let "x" represent the number of rows, then there are "x + 9" number of seats in each row.

x (x + 9) = 1540

x² + 9x = 1540

x² + 9x - 1540 = 0

(x - 35) (x + 44) = 0

(x - 35) = 0 (x + 44) = 0

x = 35 x = - 44