Question

Which of the following choices simplified the expression:

Answer 1

The correct answer is second option

5/2, -1/2

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

Answer 2

Hello!

The answer is:

The correct option is the second option:

`(5)/(2),(-1)/(2)`

Why?

We are given the following expression:

`(2+-√(9))/(2)`

Now, solving we have:

First solution:

`(2+√(9))/(2)=(2+3)/(3)=(5)/(2)`

Second solution:

`(2-√(9))/(2)=(2-3)/(3)=(-1)/(2)`

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

`(5)/(2),(-1)/(2)`

Have a nice day!