Jump to content
BrainDen.com - Brain Teasers
  • 0
BMAD

A rational solution

Question

4 answers to this question

Recommended Posts

  • 0
On 10/5/2017 at 10:56 PM, Molly Mae said:

 

  Hide contents

Pretty easy answer: x=2, y=4

 

is there another?

Edited by BMAD

Share this post


Link to post
Share on other sites
  • 0
3 hours ago, BMAD said:

is there another?

 

Not integers for 0>x>y

Edited by Molly Mae

Share this post


Link to post
Share on other sites
  • 0
Spoiler

Technically, there are an infinite amount of solutions for this equation. To find a solution, you can plug any value for the integer "a" to get a value for x and y.

If "a" is any integer greater than 1, then the the solution is:

x=a-1sqrt(a)

y=a-1sqrt(a^a)

Examples:     a=1.5    x=2.25         y=3.375                       2.25^3.375 = 3.375^2.25 = 15.43888...

                        a=2       x=2               y=4                              2^4 = 4^2 = 16

                        a=3       x=sqrt(3)     y=sqrt(27)                  sqrt(3)^sqrt(27) = sqrt(27)^sqrt(3) = 17.36190...

                        a=4       x=3sqrt(4)   y=3sqrt(256)              3sqrt(4)^3sqrt(256) = 3sqrt(256)^3sqrt(4) = 18.80532...

 

Share this post


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...

  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...