Question

What number should be added to both sides of the equation to complete the square?

x2 – 6x = 5

Answer 1

To complete the square, we need to add the square of half the coefficient of x to both sides of the equation. In this case, the coefficient of x is -6, so half of it is -3. We add (-3)^2 = 9 to both sides.

Step-by-step explanation:

To complete the square, we need to add the square of half the coefficient of x to both sides of the equation. In this case, the coefficient of x is -6, so half of it is -3. We add (-3)^2 = 9 to both sides:

x^2 - 6x + 9 = 5 + 9

Now, we can simplify:

(x - 3)^2 = 14

So, the number that should be added to both sides of the equation to complete the square is 9.

Answer 2

x² - 6x + __ = 5 + __

to complete the square, you take your "middle" value, divide it by 2, then square it. in this case:

-6/2 = -3
(-3)² = 9

9 is the number you'd add to both sides to complete the square.
x² - 6x + 9 = 5 + 9