Question

What number should be added to both sides of the equation to complete the square?

Answer 1

-6. its to make the equation equal

Answer 2

Answer:

The number that is added both side to make the equation a perfect square is

$\frac{9}{4}$

Step-by-step explanation:

The given equation is :$x^{2} +3x=6$

The equation is of the form $ax^{2} +bx+c=0$

To solve the equation by completing a square we take half of b term and square it .

This is added to both sides.

Comparing the equations we have b=3 .

We take half of 3 and square it that is :

$(\frac{3}{2}) ^{2} =\frac{9}{4}$

So      $\frac{9}{4}$ isadded to both side to complete the square .