All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Powering (Posted on 2013-10-05) Difficulty: 3 of 5
Given that a,b,x and y are real numbers such that


Determine ax4+by4

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: possible solution | Comment 2 of 5 |
(In reply to possible solution by broll)

Nice solution.

I got close but then I cheated.
I didn't try simplifying the 'heroic' equation.
Instead I subbed a and b into III and solved for y in terms of x using the quadratic equation.  (Gives two solutions with )
Then I subbed a,b, and y in for x and graphed IV on my calculator.
The + gives {x,y,b,a} = {-2,3,25,-2}
The - gives {x,y,b,a} = {3,-2,-2,25}

Is there a way to solve this without finding the values of all the variables?

  Posted by Jer on 2013-10-07 09:59:24

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information