Answer: there are 13 rows of seats in the theater.
Step-by-step explanation: Concurring to the issue, the number of lines is 3 less than the number of seats in each push. So, the number of lines can be communicated as "x - 3".
We know that the theater can situate 208 individuals, so the entire number of seats can be communicated as "x times (x - 3)".
Hence, we are able type in the condition as:
x(x - 3) = 208
Expanding the condition, we get:
x^2 - 3x - 208 =
Presently, ready to unravel this quadratic condition to discover the esteem of "x" which speaks to the number of seats in each push:
Utilizing the quadratic equation:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -3, and c = -208
x = (-(-3) ± sqrt((-3)^2 - 4(1)(-208))) / 2(1)
x = (3 ± sqrt(841)) / 2
x = (3 ± 29) / 2
Ready to disregard the negative arrangement, so:
x = (3 + 29) / 2
x = 16
Hence, the number of seats in each push is 16.
And, the number of columns can be communicated as "x - 3":
Number of columns = 16 - 3 = 13