Question 972304
a rectangular auditorium seats 1050 people.
 the number of seats in each row exceeds the number of rows by 17.
 find the number of seats in each row
:
let x = no. rows
 "the number of seats in each row exceeds the number of rows by 17.", therefore:
(x+17) = no. of seats in each row
:
Total seats = no. of rows * no. of seats in each row; therefore:
x(x+17) = 1050
x^2 + 17x - 1050 = 0
use the quadratic formula to find x, a=1; b=17; c=-1050
I got solutions of of
x = -42
x = 25 
we want the positive solution here
x = 25 rows
then
25 + 17 = 42 seats in each row
:
:
Check this, find the total with these values
25 * 42 = 1050