Answer:
There are 16 rows of seats in the auditorium.
Step-by-step explanation:
Jose is correct in writing out 416 = 2x² - 6x.
Rewriting this in descending order by powers of x, we get:
2x² - 6x - 416 = 0
Dividing all four terms by 2 simplifies this equation to x² - 3x - 208 = 0. This equation, in turn, factors to (x + 13)(x - 16) = 0. The only reasonable answer is x = 16. Jose's solutions are incorrect.
There are 16 rows of seats in the auditorium.
The number of seats per row is 416/16, or 26.
