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Posted on 20170507
)
Find positive integers
a, b, and c
, all different, such that
a^3 + b^3 = c^4.
Please obey the title !
No Solution Yet
Submitted by
Ady TZIDON
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Solution
 Comment 1 of 6
Let x,y,z be any set of positive integer satisfying z=x^3+y^3. Then c=z, a=x*z, b=y*z is an integral solution to a^3 + b^3 = c^4.
For example, 2^3+3^3=35 makes (x,y,z)=(2,3,35) Then (a,b,c)=(70,105,35) yields 70^3+105^3=35^4=1500625.
Posted by
Brian Smith
on 20170507 10:09:40
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