Question

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

x2 + 3x = 6

Answer 1

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

`(9)/(4)`

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 :

`((3)/(2)) ^(2) =(9)/(4)`

So
`(9)/(4)` isadded to both side to complete the square .