Answer:
(a) C = +9
(b) C = -9
Step-by-step explanation:
Given:
The equation to solve is given as:
[tex]15+ C^2=96[/tex]
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:
[tex]15-15+C^2=96-15\\\\C^2=81[/tex]
Now, taking square root on both the sides, we get:
[tex]\sqrt{C^2}=\pm\sqrt{81}\\\\C=\pm\sqrt{9^2}\\\\C=\pm9[/tex]
Therefore, there are two values of 'C'.
[tex]C = 9\ and\ C = -9[/tex]
Therefore, options (a) and (b) are correct.
