If using the method of completing the square to solve the quadratic equation x2 + 11x + 30 = 0, which number would have to be added to "complete the
square"?

The number to add is (11/2)^2 = 121/4

Step-by-step explanation:

Here, we want to know the number that will complete the square

We rewrite the equation as follows;

x^2 + 11x = -30

x^2 + 11x + (11/2)^2 = -30 + (11/2)^2

x^2 + 11x + 121/4 = -30 + 121/4

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: