The total number of seats in an auditorium is modeled by f (x) = 2x² - 12x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 320 seats? Show work and explain how you got your answer

320 = 2x² - 12x as when there are an unknown number of rows there are 320 seats.

0 = 2x² - 12x - 320

0 = x² - 6x - 160

0 = (x - 16) (x + 10)

for this to = 0 one bracket must equal 0

therefore x = 16 or x = - 10

not a negative number of rows.

Therefore must be 16.