IF the number of seats in a row in a movie theatre is 8 more than the number of rows, and there are 884 seats, how many rows are there?

Guest Feb 22, 2023

#2**+1 **

Continuing with Melody's excellent hint, if you need help solving it, here it is:

\(\begin{align*} x^2+8x-884&=0\\ x&=\dfrac{-8\pm\sqrt{64+3536}}{2}\\ x&=\dfrac{-8\pm\sqrt{3600}}{2}\\ x&=\dfrac{-8\pm60}{2}\\ x&=-4\pm30\\ x&=-34, 26 \end{align*}\)

Obviously, the answer cannot be -34 (imagine -34 rows). So the answer is 26.

Elephant200 Feb 22, 2023