The solution of the equation is:
[tex]c=\pm 9[/tex]
The quadratic equation here in terms of the variable c is given by:
[tex]15+c^2=96[/tex]
Now on subtracting 15 from both the sides of the equation we have:
[tex]15+c^2-15=96-15\\\\15-15+c^2=81\\\\0+c^2=81\\\\c^2=81[/tex]
Hence, on comparing the equation with:
[tex]ax^2=c[/tex]
we have:
[tex]a=1\ and\ c=81[/tex]
Now on taking the square root on both the sides of the equation we have:
[tex]c=\pm 9[/tex]
