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.​

9514 1404 393

  51

Step-by-step 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.

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.