Solve x^2+11x=-10 by completing the square.

The solutions are x = ___ and x=___.

-10, - 1

Step-by-step explanation:

To complete the square, we add the square of half the x-coefficient:

x^2 + 11x + 5.5^2 = - 10 + 5.5^2

(x + 5.5) ^2 = 20.25

Taking the square root, we get ...

x + 5.5 = ±4.5

x = - 5.5 ±4.5 = {-10, - 1}

The solutions are x = - 10 and x = - 1.