A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row.
x = number of rows
x + 11 = number of seats in each row x(x + 11) = 1302 {number of rows x number of seats in each row = total seats} x² + 11x = 1302 {used distributive property} x² + 11x  1302 = 0 {subtracted 1302 from each side} (x + 42)(x  31) = 0 {factored into two binomials} x + 42 = 0 or x  31 = 0 {set each factor equal to zero} x = 42 or x = 31 {solved each equation for x} x = 31 {number of rows cannot be negative} x + 11 = 42 {substituted 31, in for x, into x + 11} there are 42 seats in each row Ask Algebra House
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