Answer:
c=144
Step-by-step explanation:
The given equation is [tex]x^2-c=0[/tex]
If this equation has 12 and -12 as roots, then the roots must satisfy the equation.
We substitute x=12 to obtain
[tex]12^2-c=0[/tex]
[tex]144-c=0[/tex]
Solve for c to get:
[tex]144=c[/tex]
This implies that:
[tex]c=144[/tex]
We could have also substitute x=-12 to get the same result.