Answer:
(a) C = +9
(b) C = -9
Explanation:
Given:
The equation to solve is given as:
![15+ C^2=96](https://img.qammunity.org/2021/formulas/mathematics/high-school/btynckfildvudl377lru9fiaqdr8ag6zav.png)
In order to solve this for 'C', we have to isolate 'C' on the left side of the equation.
Adding -15 on both sides, we get:
![15-15+C^2=96-15\\\\C^2=81](https://img.qammunity.org/2021/formulas/mathematics/high-school/iajftebc2zjhcyuo8910kogvyizgv5ixrw.png)
Now, taking square root on both the sides, we get:
![√(C^2)=\pm√(81)\\\\C=\pm√(9^2)\\\\C=\pm9](https://img.qammunity.org/2021/formulas/mathematics/high-school/lohdi8298k5k8xnqe90f61hwb55l396nny.png)
Therefore, there are two values of 'C'.
![C = 9\ and\ C = -9](https://img.qammunity.org/2021/formulas/mathematics/high-school/wmbukt401yg9w4lzapz45yrmf3tu0cefgq.png)
Therefore, options (a) and (b) are correct.