Question

A rectangular auditorium seats 3450 people. The number of seats in each row exceeds the number of rows by 19 . Find the number of seats in each row.

Answer 1

We can set up an equation: xx + 19) =
3450. Expanding this equation using FOILS gives us x^2 + 19x - 3450. X = 50 or X = -69
When it’s 50
50 • 50 = 2500 + 19(50) = 950
2500 + 950 = 3450

When it’s (-69)
-69 • (-69) = 4761 + 19(-69) = -1311
4796 - (-1311) = 3450