SOLUTION: Prove that there are no solutions in positive integers x and y to the equation x^4+y^4=625.
Algebra.Com
Question 89707This question is from textbook Discrete Mathematics
: Prove that there are no solutions in positive integers x and y to the equation x^4+y^4=625.
This question is from textbook Discrete Mathematics
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Good luck on this!
Prove that there are no solutions for:
This can be written as:
where z = 5
Refer to Fermat's last theorem:
There are no solutions for n>2
You might contact Andrew Wile for his thoughts on this.
RELATED QUESTIONS
Prove that there are no positive integers x, y, z such that
x^2+y^2 = 3z^2... (answered by ikleyn)
Hi, I have this question that seems impossible but I'm sure there's an explanation. The... (answered by Fombitz)
Prove that there are no positive integers x, y, z, t such that
x^2 + y^2 − 7z^2... (answered by robertb)
Prove that there are no positive integers x, y, z, t such that
x^2 + y^2 − 3z^2... (answered by robertb)
The number of solutions (x,y) of the equation ,3x+y=100, where x and y are positive... (answered by ikleyn,greenestamps)
I believe I have the right answers just need help showing it step by step.
12. ... (answered by dkppathak,Edwin McCravy)
Hi, I don't know how to approack this question other than try guess and check... Sorry,... (answered by robertb)
there are no solutions to the system of inequalities shown beloew:
y< 3x + 5
y > -x +... (answered by Fombitz)
How many solutions of the equation x+y+z=2013;where x,y,z are sides of a triangle and... (answered by AnlytcPhil)