Respuesta :

Do you see -8x?

Take half of -8 and square it.

So, (-8)/2 = -4.

(-4)^2 = 16

Now add 16 to both sides.

Answer:

The correct option is 2. 16 is added to both sides of the equation.

Step-by-step explanation:

The given equation is

[tex]x^2-8x=-10[/tex]

If an expression is defined as [tex]x^2+bx[/tex], then we need to add [tex](\frac{b}{2})^2[/tex] in the expression to make it perfect square.

In the given equation b=-8.

[tex](\frac{b}{2})^2=(\frac{-8}{2})^2=(-4)^2=16[/tex]

We need to add 16 on both the sides to solve by completing the square.

Therefore the correct option is 2. 16 is added to both sides of the equation.