Respuesta :

Hello!

The answer is:

The correct option is the second option:

[tex]\frac{5}{2},\frac{-1}{2}[/tex]

Why?

We are given the following expression:

[tex]\frac{2+-\sqrt{9}}{2}[/tex]

Now, solving we have:

First solution:

[tex]\frac{2+\sqrt{9}}{2}=\frac{2+3}{3}=\frac{5}{2}[/tex]

Second solution:

[tex]\frac{2-\sqrt{9}}{2}=\frac{2-3}{3}=\frac{-1}{2}[/tex]

Hence, we have that the correct option is the second option:

[tex]\frac{5}{2},\frac{-1}{2}[/tex]

Have a nice day!

Answer:

The correct answer is second option

5/2, -1/2

Step-by-step explanation:

From the attached figure we can see that,

(2 ± √9 )/2

To find the simplified form of (2 ± √9 )/2

(2 ± √9 )/2 = (2 + √9 )/2 or (2 - √9 )/2

(2 + √9 )/2 = (2 + 3)/2 = 5/2

(2 - √9 )/2 =  (2 - 3)/2 = -1/2

Therefore simplified form of (2 ± √9 )/2 are

5/2 and -1/2

The correct answer is option 2