Question

Find the equation that results from completing the square into the following equation X squared -14 X +40 equals zero

Answer 1

Given:

The equation is

`x^2-14x+40=0`

Required:

Find the equation that results from completing the square into the given equation.

Explanation:

The given equation is:

`x^(2)-14x+40=0`

Subtract 40 on both sides.

`\begin{gathered} x^2-14x+40-40=0-40 \\ x^2-14x=-40 \end{gathered}`

Add 49 on both sides.

`\begin{gathered} x^2-14x+49=-40+49 \\ x^2-14x+49=9 \end{gathered}`

Use the following formula:

`a^2-2ab+b^2=(a-b)^2`
`(x-7)^2=9`

Final answer:

The second option is the correct answer.