Find the value of c that completes the square
x^2+11x+c
To complete the square for the quadratic equation x^2 + 11x + c, we need to add and subtract (11/2)^2 = 121/4 to the equation.
x^2 + 11x + c = (x^2 + 11x + 121/4) - 121/4 + c
Now we have a perfect square trinomial on the left side of the equation.
= (x + 11/2)^2 - 121/4 + c
To complete the square, the value c should be equal to -121/4.
Thus, the value of c that completes the square is -121/4.