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

S = 15 + R

SR = 2914

(15+R)R = 2914

R^2 + 15R - 2914 = 0

(R+62)(R-47) = 0

R =47 -67

R = -15/2 + (1/2)sqr(225 +4(2914)) = -7.5 + .5(109) = 54.5-7.5 = 47 rows

seats per row = 15+47 = 62

62 x 47 = 2914