Class 41 is arranged in a square in physical education class, and there are 6 extra students. If the square is added to the vertical and horizontal sides, there will be a shortage of 9 students. How many students are there in this class?
四1班上体育课时排成正方形，多余6位同学，若正方形纵横两个方面各增加一层，则缺少9位同学，问这个班有多少位同学？
<gadget id="calculator">9 + 6 + 1</gadget>
<output>16</output>

<gadget id="calculator">16 / 2</gadget>
<output>8</output>

<gadget id="calculator">8 - 1</gadget>
<output>7</output>

<gadget id="calculator">7 * 7</gadget>
<output>49</output>

<gadget id="calculator">49 + 6</gadget>
<output>55</output>

<result>55</result>