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A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row.​

1 Answer

2 votes

9514 1404 393

Answer:

51

Explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

s(s-9) = 2142

s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

(s -4.5) = √2162.25 . . . . . . . . take the positive square root

s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.

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