Question

X^2+1/2x+____=2 + ____

Answer 1

Answer:
`x^2+(1)/(2)x+(1)/(16)=2 +(1)/(16)`

Explanation:

Given the following Quadratic equation:

`x^2+(1)/(2)x=2 +`

You can change its formed by Completing the square.

In order to do Complete the square, you can follow these steps:

1. You can identify that:

`b=(1)/(2)`

2. Then, you can find
`((b)/(2))^2`. This is:

`(((1)/(2))/(2))^2=((1)/(4))^2=(1)/(16)`

3. Now you must add
`(1)/(16)` to both sides of the Quadratic equation in order to keep the balance. Then:

`x^2+(1)/(2)x+(1)/(16)=2 +(1)/(16)`

4. Finally, simplifying by actoring and adding the like terms, you get:

`(x+(1)/(4))^2=(9)/(4)`