Question

To solve X^2 + 4x=7 by completing the square add ____? To both sides of the equation

Answer 1

The given statement is,

To solve

`x^2+4x=7`

by completing the square add ______ ono both sides of the equation.

To fill the blank:

We know that the identity,

`x^2+2xy+y^2=(x+y)^2`

Comparing the equating terms as follows,

`\begin{gathered} 2xy=4x \\ y=2 \end{gathered}`

Then, add on both sides of the equation by,

`2^2`

Hence, the answer is,

`2^2\text{ (or) 4}`