Anumber multiplied by 12 is equal to the sum of the square root of that same number and 36. what is that number?

3.15

Step-by-step explanation:

Let the unknown number be n.

Then 12n = √n + 36

We must eliminate the √ operator.  One way to do this is to replace √n temporarily with x.  Then 12n = 12x^2, and we have 12x^2 - x - 36 = 0.  This is a quadratic with a= 12, b= -1 and c = -36

Solving for x using the quadratic formula:

       1 plus or minus √(1 - 4(12)(-36)

x =

                        2(12)

      1 plus or minus √1729

x =

                        24

       1 plus or minus 41.58

x =

                    24

Since x = √n, n must be a positive number.  Thus,

       1 + 41.58

x = = 1.77

            24

If x = 1.77 = √n, then n = 1.77^2 = 3.15.

Check:  Is this true?  A number multiplied by 12 is equal to the sum of the square root of that same number and 36.

12(3.15) = √3.15 + 36, or

 37.8    =  1.77 + 36  = 37.77     This checks out.

The number is 3.15

[2, 2.5)

(2.5, 3]

step-by-step explanation:

i think its these two not sure [2, 2.5)

(2.5, 3]

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered