For this case we have the following polynomial:
![n ^ 2 + 36n + c](https://img.qammunity.org/2020/formulas/mathematics/high-school/h8g64r1r3dqgpzqfauexrfshqtxd1xn471.png)
To find the value of c that completes the square, we use the following equation:
![c = (\frac {b} {2}) ^ 2](https://img.qammunity.org/2020/formulas/mathematics/high-school/roe26sd1imqpcptq6xhdno3l70wr8rcgac.png)
Where,
- b: coefficient of the variable of degree 1
Substituting values we have:
![c = (\frac {36} {2}) ^ 2\\c = (18) ^ 2\\c = 324](https://img.qammunity.org/2020/formulas/mathematics/high-school/g7je0s32n9u16lep5ixdexraybcbet0tgb.png)
Answer:
the value of c that completes the square is:
![c = 324](https://img.qammunity.org/2020/formulas/mathematics/high-school/v8kwjq9odpukhfcprjclmo62h8him05ia2.png)