A rectangular auditorium seats 2914 people. The number of seats in each row exceeds the number of rows by 15. Find the number of seats in each row.

Answer 1

x(x+15) = 2914

x^2 + 15x -2914 = 0

factor or use the quadratic formula

(x-47(x+62) = 0

x=62 is the number of seats in each row, with 62-15= 47 rows

62 times 47 = 2914

62 = 15 + 47