SOLUTION: a regtangular 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

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Question 972304: a regtangular 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
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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