All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
Smells Trigonometric (
Posted on 20231112
)
x and y are real numbers such that, (4x
^{3}
3x)
^{2}
+(4y
^{3}
3y)
^{2}
=1.
Find the maximum of x+y.
No Solution Yet
Submitted by
Danish Ahmed Khan
No Rating
Comments: (
Back to comment list
 You must be logged in to post comments.
)
based on Wolfram Alpha
 Comment 2 of 4 
solve (4x^33x)^2+(4y^33y)^2=1 for y
typed into Wolfram Alpha gives
y = ± sqrt(1  x^2)
Then typing
maximum(sqrt(1x^2)+x)
into Wolfram Alpha gives
max{sqrt(1  x^2) + x} = sqrt(2) at x = 1/sqrt(2)
Posted by
Charlie
on 20231112 15:31:22
Please log in:
Login:
Password:
Remember me:
Sign up!

Forgot password
Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ

About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2024 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information