If I have to move the constant over to one side, what value would I have to add to the left side in order to complete the square?

x² + 4x - 5 = 2

To make the equation complete square, we have to add 11.

Step-by-step explanation:

Given as:

The linear equation is

x² + 4 x - 5 = 2

Now, move the constant to left side of equation

So, x² + 4 x - 5 - 2 = 0

Or, x² + 4 x - 7 = 0

Now, to make equation complete square, let add 11 both side

So, x² + 4 x - 7 + 11 = 11

Or, x² + 4 x + 4 = 11

Now, applying mid-term break

So, x² + 2 x + 2 x + 4 = 11

Or, x (x + 2) + 2 (x + 2) = 11

Or, (x + 2) (x + 2) = 11

Or, (x + 2) ² = 11

Hence, To make the equation complete square, we have to add 11. Answer