Question

What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square?−816−44?

Answer 1

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 2

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

Explanation:

The given equation is

`x^2-8x=-10`

If an expression is defined as
`x^2+bx`, then we need to add
`((b)/(2))^2` in the expression to make it perfect square.

In the given equation b=-8.

`((b)/(2))^2=((-8)/(2))^2=(-4)^2=16`

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.