The answer is: 29 rows of seats.
The explanation is shown below:
1. Let's call [tex]x[/tex] the number of seats in a row.
2. You have that the number of rows is 4 less than the number of seats in each row ([tex]x-4[/tex]).
3. The total seats, which is 957, is obtained by multiplying the number of seats in a row by the numbers of rows. Therefore, you can write the following expression:
[tex]x(x-4)=957\\x^{2}-4x-957=0[/tex]
4. Solve for [tex]x[/tex]. You can use the Quadratic formula, which is:
[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}[/tex]
Where:
[tex]a=1\\b=-4\\c=-957[/tex]
5. Substitute values:
[tex]x=\frac{-(-4)+/-\sqrt{(-4)^{2}-4(1)(-957)}}{2(1)}\\x_1=33\\x_2=-29[/tex]
6. You must choose the positive value. Therefore, the number of rows of seats is:
[tex]x-4=33-4=29[/tex]
