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,

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