A rectangular auditorium seats 1748 people. The number of seats in each row exceeds the number of rows by 8 . Find the number of seats in each row.

Answer 1

R is the # of rows

R(R+8) = 1748

R^2 + 8R - 1748 = 0

( R + 46 )( R - 38 ) = 0

Thinking...... 1748 = 4 * 437 = 4 * 23 * 19 = 2*2*23*19

R=38

38 rows

46 seats per row