Given:
A quadratic equation is
[tex]-6=x^2+4x-1[/tex]
To find:
The standard form of the given equation and find the value of c.
Solution:
The standard form of a quadratic equation is
[tex]ax^2+bx+c=0[/tex] ...(i)
We have,
[tex]-6=x^2+4x-1[/tex]
It can be rewritten as
[tex]0=x^2+4x-1+6[/tex]
[tex]0=x^2+4x+5[/tex]
[tex]x^2+4x+5=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]c=5[/tex]
Therefore, the value of c is equal to 5 and the correct option is C.