A class of 352352 students are arranged in rows such that the number of students in a row is one less than thrice the number of rows. Find the number of students in each row.

Let the number of **rows** be \( r \). According to the problem, the number of **students in each row** is one less than **thrice the number of rows**. Therefore, the number of students in a row is given by:

\[
3r - 1
\]

Since the total number of students is 352352, we can set up the following equation:

\[
r \times (3r - 1) = 352352
\]

### Step 1: Expand the equation
\[
3r^2 - r = 352352
\]

### Step 2: Rearrange into standard quadratic form
\[
3r^2 - r - 352352 = 0
\]

### Step 3: Solve the quadratic equation
Using the quadratic formula:

\[
r = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

where \( a = 3 \), \( b = -1 \), and \( c = -352352 \). Substituting these values:

\[
r = \frac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(-352352)}}{2(3)}
\]

\[
r = \frac{1 \pm \sqrt{1 + 4228224}}{6

A class of 352352 students are arranged in rows such that the number of students in a row is one less than thrice the number of rows. Find the number of students in each row.

Learn how to solve a quadratic equation to determine the number of rows and students per row in a class of 352352 students. This algebra problem involves applying the quadratic formula and factoring techniques, suitable for students in Grades 8-10.

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