Complete the square c^2+14x-y+42=0
To complete the square for the given equation c^2 + 14c - y + 42 = 0, we need to rearrange the terms involving c and complete the square.
Rearrange the equation:
c^2 + 14c = y - 42
Now we need to add and subtract (14/2)^2 = 49 to complete the square for the c terms:
c^2 + 14c + 49 = y - 42 + 49
(c + 7)^2 = y + 7
Therefore, the equation in completed square form is:
(c + 7)^2 = y + 7